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Finding the Fourth Proportional to 8,294.34, 12,437.73 and 3,614.16

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Solution

The fourth proportional to 8,294.34, 12,437.73 and 3,614.16 is: 5,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.34 : 12,437.73 = 3,614.16 : x
  2. Step 2: Convert to fraction form
    8,294.34/12,437.73 = 3,614.16/x
  3. Step 3: Cross multiply
    8,294.34x = 12,437.73 × 3,614.16
  4. Step 4: Simplify right side
    8,294.34x = 44,951,946.26
  5. Step 5: Solve for x
    x = 44,951,946.26/8,294.34
  6. Step 6: Final answer
    x = 5,419.59

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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.