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Finding the Fourth Proportional to 9,760.97, 14,644.17 and 3,187.55

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Solution

The fourth proportional to 9,760.97, 14,644.17 and 3,187.55 is: 4,782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.97 : 14,644.17 = 3,187.55 : x
  2. Step 2: Convert to fraction form
    9,760.97/14,644.17 = 3,187.55/x
  3. Step 3: Cross multiply
    9,760.97x = 14,644.17 × 3,187.55
  4. Step 4: Simplify right side
    9,760.97x = 46,679,024.08
  5. Step 5: Solve for x
    x = 46,679,024.08/9,760.97
  6. Step 6: Final answer
    x = 4,782.21

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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.