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Finding the Fourth Proportional to 22,706.30, 34,059.45 and 7,123.90

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Solution

The fourth proportional to 22,706.30, 34,059.45 and 7,123.90 is: 10,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.30 : 34,059.45 = 7,123.90 : x
  2. Step 2: Convert to fraction form
    22,706.30/34,059.45 = 7,123.90/x
  3. Step 3: Cross multiply
    22,706.30x = 34,059.45 × 7,123.90
  4. Step 4: Simplify right side
    22,706.30x = 242,636,115.86
  5. Step 5: Solve for x
    x = 242,636,115.86/22,706.30
  6. Step 6: Final answer
    x = 10,685.85

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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.