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Finding the Fourth Proportional to 10,997.90, 15,177.09 and 5,962.10

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Solution

The fourth proportional to 10,997.90, 15,177.09 and 5,962.10 is: 8,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.90 : 15,177.09 = 5,962.10 : x
  2. Step 2: Convert to fraction form
    10,997.90/15,177.09 = 5,962.10/x
  3. Step 3: Cross multiply
    10,997.90x = 15,177.09 × 5,962.10
  4. Step 4: Simplify right side
    10,997.90x = 90,487,328.29
  5. Step 5: Solve for x
    x = 90,487,328.29/10,997.90
  6. Step 6: Final answer
    x = 8,227.69

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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.