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Finding the Fourth Proportional to 9,502.16, 14,252.13 and 3,654.68

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Solution

The fourth proportional to 9,502.16, 14,252.13 and 3,654.68 is: 5,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.16 : 14,252.13 = 3,654.68 : x
  2. Step 2: Convert to fraction form
    9,502.16/14,252.13 = 3,654.68/x
  3. Step 3: Cross multiply
    9,502.16x = 14,252.13 × 3,654.68
  4. Step 4: Simplify right side
    9,502.16x = 52,086,903.21
  5. Step 5: Solve for x
    x = 52,086,903.21/9,502.16
  6. Step 6: Final answer
    x = 5,481.59

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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.