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Finding the Fourth Proportional to 13,658.92, 20,473.76 and 9,751.48

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Solution

The fourth proportional to 13,658.92, 20,473.76 and 9,751.48 is: 14,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.92 : 20,473.76 = 9,751.48 : x
  2. Step 2: Convert to fraction form
    13,658.92/20,473.76 = 9,751.48/x
  3. Step 3: Cross multiply
    13,658.92x = 20,473.76 × 9,751.48
  4. Step 4: Simplify right side
    13,658.92x = 199,649,461.16
  5. Step 5: Solve for x
    x = 199,649,461.16/13,658.92
  6. Step 6: Final answer
    x = 14,616.78

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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.