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Finding the Fourth Proportional to 13,382.68, 20,073.84 and 4,148.68

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Solution

The fourth proportional to 13,382.68, 20,073.84 and 4,148.68 is: 6,222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.68 : 20,073.84 = 4,148.68 : x
  2. Step 2: Convert to fraction form
    13,382.68/20,073.84 = 4,148.68/x
  3. Step 3: Cross multiply
    13,382.68x = 20,073.84 × 4,148.68
  4. Step 4: Simplify right side
    13,382.68x = 83,279,938.53
  5. Step 5: Solve for x
    x = 83,279,938.53/13,382.68
  6. Step 6: Final answer
    x = 6,222.96

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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.