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Finding the Fourth Proportional to 9,824.76, 13,553.10 and 6,092.28

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Solution

The fourth proportional to 9,824.76, 13,553.10 and 6,092.28 is: 8,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.76 : 13,553.10 = 6,092.28 : x
  2. Step 2: Convert to fraction form
    9,824.76/13,553.10 = 6,092.28/x
  3. Step 3: Cross multiply
    9,824.76x = 13,553.10 × 6,092.28
  4. Step 4: Simplify right side
    9,824.76x = 82,569,280.07
  5. Step 5: Solve for x
    x = 82,569,280.07/9,824.76
  6. Step 6: Final answer
    x = 8,404.20

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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.