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Finding the Fourth Proportional to 22,984.65, 34,478.14 and 6,344.31

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Solution

The fourth proportional to 22,984.65, 34,478.14 and 6,344.31 is: 9,516.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.65 : 34,478.14 = 6,344.31 : x
  2. Step 2: Convert to fraction form
    22,984.65/34,478.14 = 6,344.31/x
  3. Step 3: Cross multiply
    22,984.65x = 34,478.14 × 6,344.31
  4. Step 4: Simplify right side
    22,984.65x = 218,740,008.38
  5. Step 5: Solve for x
    x = 218,740,008.38/22,984.65
  6. Step 6: Final answer
    x = 9,516.79

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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.