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Finding the Fourth Proportional to 21,742.56, 32,614.07 and 6,951.15

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Solution

The fourth proportional to 21,742.56, 32,614.07 and 6,951.15 is: 10,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.56 : 32,614.07 = 6,951.15 : x
  2. Step 2: Convert to fraction form
    21,742.56/32,614.07 = 6,951.15/x
  3. Step 3: Cross multiply
    21,742.56x = 32,614.07 × 6,951.15
  4. Step 4: Simplify right side
    21,742.56x = 226,705,257.92
  5. Step 5: Solve for x
    x = 226,705,257.92/21,742.56
  6. Step 6: Final answer
    x = 10,426.80

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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.