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Finding the Fourth Proportional to 13,713.15, 20,565.47 and 4,946.92

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Solution

The fourth proportional to 13,713.15, 20,565.47 and 4,946.92 is: 7,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.15 : 20,565.47 = 4,946.92 : x
  2. Step 2: Convert to fraction form
    13,713.15/20,565.47 = 4,946.92/x
  3. Step 3: Cross multiply
    13,713.15x = 20,565.47 × 4,946.92
  4. Step 4: Simplify right side
    13,713.15x = 101,735,710.12
  5. Step 5: Solve for x
    x = 101,735,710.12/13,713.15
  6. Step 6: Final answer
    x = 7,418.85

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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.