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Finding the Fourth Proportional to 9,654.76, 14,472.42 and 4,464.28

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Solution

The fourth proportional to 9,654.76, 14,472.42 and 4,464.28 is: 6,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.76 : 14,472.42 = 4,464.28 : x
  2. Step 2: Convert to fraction form
    9,654.76/14,472.42 = 4,464.28/x
  3. Step 3: Cross multiply
    9,654.76x = 14,472.42 × 4,464.28
  4. Step 4: Simplify right side
    9,654.76x = 64,608,935.16
  5. Step 5: Solve for x
    x = 64,608,935.16/9,654.76
  6. Step 6: Final answer
    x = 6,691.93

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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.