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Finding the Fourth Proportional to 20,498.13, 30,747.06 and 5,707.13

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Solution

The fourth proportional to 20,498.13, 30,747.06 and 5,707.13 is: 8,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.13 : 30,747.06 = 5,707.13 : x
  2. Step 2: Convert to fraction form
    20,498.13/30,747.06 = 5,707.13/x
  3. Step 3: Cross multiply
    20,498.13x = 30,747.06 × 5,707.13
  4. Step 4: Simplify right side
    20,498.13x = 175,477,314.80
  5. Step 5: Solve for x
    x = 175,477,314.80/20,498.13
  6. Step 6: Final answer
    x = 8,560.65

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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.