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Finding the Fourth Proportional to 30,614.38, 45,921.80 and 8,428.97

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Solution

The fourth proportional to 30,614.38, 45,921.80 and 8,428.97 is: 12,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,614.38 : 45,921.80 = 8,428.97 : x
  2. Step 2: Convert to fraction form
    30,614.38/45,921.80 = 8,428.97/x
  3. Step 3: Cross multiply
    30,614.38x = 45,921.80 × 8,428.97
  4. Step 4: Simplify right side
    30,614.38x = 387,073,610.42
  5. Step 5: Solve for x
    x = 387,073,610.42/30,614.38
  6. Step 6: Final answer
    x = 12,643.52

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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.