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Finding the Fourth Proportional to 11,593.51, 15,999.12 and 6,812.17

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Solution

The fourth proportional to 11,593.51, 15,999.12 and 6,812.17 is: 9,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.51 : 15,999.12 = 6,812.17 : x
  2. Step 2: Convert to fraction form
    11,593.51/15,999.12 = 6,812.17/x
  3. Step 3: Cross multiply
    11,593.51x = 15,999.12 × 6,812.17
  4. Step 4: Simplify right side
    11,593.51x = 108,988,725.29
  5. Step 5: Solve for x
    x = 108,988,725.29/11,593.51
  6. Step 6: Final answer
    x = 9,400.84

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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.