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Finding the Fourth Proportional to 8,531.29, 11,774.10 and 4,997.47

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Solution

The fourth proportional to 8,531.29, 11,774.10 and 4,997.47 is: 6,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.29 : 11,774.10 = 4,997.47 : x
  2. Step 2: Convert to fraction form
    8,531.29/11,774.10 = 4,997.47/x
  3. Step 3: Cross multiply
    8,531.29x = 11,774.10 × 4,997.47
  4. Step 4: Simplify right side
    8,531.29x = 58,840,711.53
  5. Step 5: Solve for x
    x = 58,840,711.53/8,531.29
  6. Step 6: Final answer
    x = 6,897.05

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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.