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Finding the Fourth Proportional to 11,998.93, 16,547.73 and 7,523.14

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Solution

The fourth proportional to 11,998.93, 16,547.73 and 7,523.14 is: 10,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.93 : 16,547.73 = 7,523.14 : x
  2. Step 2: Convert to fraction form
    11,998.93/16,547.73 = 7,523.14/x
  3. Step 3: Cross multiply
    11,998.93x = 16,547.73 × 7,523.14
  4. Step 4: Simplify right side
    11,998.93x = 124,490,889.47
  5. Step 5: Solve for x
    x = 124,490,889.47/11,998.93
  6. Step 6: Final answer
    x = 10,375.17

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.