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Finding the Fourth Proportional to 9,761.48, 14,616.90 and 8,197.88

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Solution

The fourth proportional to 9,761.48, 14,616.90 and 8,197.88 is: 12,275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.48 : 14,616.90 = 8,197.88 : x
  2. Step 2: Convert to fraction form
    9,761.48/14,616.90 = 8,197.88/x
  3. Step 3: Cross multiply
    9,761.48x = 14,616.90 × 8,197.88
  4. Step 4: Simplify right side
    9,761.48x = 119,827,592.17
  5. Step 5: Solve for x
    x = 119,827,592.17/9,761.48
  6. Step 6: Final answer
    x = 12,275.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.