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Finding the Fourth Proportional to 13,707.68, 20,571 and 5,387.64

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Solution

The fourth proportional to 13,707.68, 20,571 and 5,387.64 is: 8,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.68 : 20,571 = 5,387.64 : x
  2. Step 2: Convert to fraction form
    13,707.68/20,571 = 5,387.64/x
  3. Step 3: Cross multiply
    13,707.68x = 20,571 × 5,387.64
  4. Step 4: Simplify right side
    13,707.68x = 110,829,142.44
  5. Step 5: Solve for x
    x = 110,829,142.44/13,707.68
  6. Step 6: Final answer
    x = 8,085.19

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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.