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Finding the Fourth Proportional to 15,121.70, 22,684.89 and 7,722.15

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Solution

The fourth proportional to 15,121.70, 22,684.89 and 7,722.15 is: 11,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121.70 : 22,684.89 = 7,722.15 : x
  2. Step 2: Convert to fraction form
    15,121.70/22,684.89 = 7,722.15/x
  3. Step 3: Cross multiply
    15,121.70x = 22,684.89 × 7,722.15
  4. Step 4: Simplify right side
    15,121.70x = 175,176,123.31
  5. Step 5: Solve for x
    x = 175,176,123.31/15,121.70
  6. Step 6: Final answer
    x = 11,584.42

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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.