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Finding the Fourth Proportional to 13,731.48, 20,594.10 and 6,711.48

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Solution

The fourth proportional to 13,731.48, 20,594.10 and 6,711.48 is: 10,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731.48 : 20,594.10 = 6,711.48 : x
  2. Step 2: Convert to fraction form
    13,731.48/20,594.10 = 6,711.48/x
  3. Step 3: Cross multiply
    13,731.48x = 20,594.10 × 6,711.48
  4. Step 4: Simplify right side
    13,731.48x = 138,216,890.27
  5. Step 5: Solve for x
    x = 138,216,890.27/13,731.48
  6. Step 6: Final answer
    x = 10,065.70

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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.