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Finding the Fourth Proportional to 10,542.91, 14,549.98 and 6,294.15

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Solution

The fourth proportional to 10,542.91, 14,549.98 and 6,294.15 is: 8,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.91 : 14,549.98 = 6,294.15 : x
  2. Step 2: Convert to fraction form
    10,542.91/14,549.98 = 6,294.15/x
  3. Step 3: Cross multiply
    10,542.91x = 14,549.98 × 6,294.15
  4. Step 4: Simplify right side
    10,542.91x = 91,579,756.62
  5. Step 5: Solve for x
    x = 91,579,756.62/10,542.91
  6. Step 6: Final answer
    x = 8,686.38

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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.