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Finding the Fourth Proportional to 9,424.98, 12,997.13 and 7,431.57

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Solution

The fourth proportional to 9,424.98, 12,997.13 and 7,431.57 is: 10,248.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.98 : 12,997.13 = 7,431.57 : x
  2. Step 2: Convert to fraction form
    9,424.98/12,997.13 = 7,431.57/x
  3. Step 3: Cross multiply
    9,424.98x = 12,997.13 × 7,431.57
  4. Step 4: Simplify right side
    9,424.98x = 96,589,044.24
  5. Step 5: Solve for x
    x = 96,589,044.24/9,424.98
  6. Step 6: Final answer
    x = 10,248.20

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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.