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Finding the Fourth Proportional to 7,169.50, 9,891.48 and 4,517.56

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Solution

The fourth proportional to 7,169.50, 9,891.48 and 4,517.56 is: 6,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169.50 : 9,891.48 = 4,517.56 : x
  2. Step 2: Convert to fraction form
    7,169.50/9,891.48 = 4,517.56/x
  3. Step 3: Cross multiply
    7,169.50x = 9,891.48 × 4,517.56
  4. Step 4: Simplify right side
    7,169.50x = 44,685,354.39
  5. Step 5: Solve for x
    x = 44,685,354.39/7,169.50
  6. Step 6: Final answer
    x = 6,232.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.