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Finding the Fourth Proportional to 8,083.69, 11,156.13 and 4,547.16

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Solution

The fourth proportional to 8,083.69, 11,156.13 and 4,547.16 is: 6,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.69 : 11,156.13 = 4,547.16 : x
  2. Step 2: Convert to fraction form
    8,083.69/11,156.13 = 4,547.16/x
  3. Step 3: Cross multiply
    8,083.69x = 11,156.13 × 4,547.16
  4. Step 4: Simplify right side
    8,083.69x = 50,728,708.09
  5. Step 5: Solve for x
    x = 50,728,708.09/8,083.69
  6. Step 6: Final answer
    x = 6,275.44

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Half scale
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Double scale
Find fourth proportional to 8,084.69, 11,157.51 and 4,548.16
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.