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Finding the Fourth Proportional to 13,478.70, 20,169.45 and 9,104.70

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Solution

The fourth proportional to 13,478.70, 20,169.45 and 9,104.70 is: 13,624.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.70 : 20,169.45 = 9,104.70 : x
  2. Step 2: Convert to fraction form
    13,478.70/20,169.45 = 9,104.70/x
  3. Step 3: Cross multiply
    13,478.70x = 20,169.45 × 9,104.70
  4. Step 4: Simplify right side
    13,478.70x = 183,636,791.42
  5. Step 5: Solve for x
    x = 183,636,791.42/13,478.70
  6. Step 6: Final answer
    x = 13,624.22

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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.