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Finding the Fourth Proportional to 7,958.87, 10,983.90 and 5,132.13

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Solution

The fourth proportional to 7,958.87, 10,983.90 and 5,132.13 is: 7,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.87 : 10,983.90 = 5,132.13 : x
  2. Step 2: Convert to fraction form
    7,958.87/10,983.90 = 5,132.13/x
  3. Step 3: Cross multiply
    7,958.87x = 10,983.90 × 5,132.13
  4. Step 4: Simplify right side
    7,958.87x = 56,370,843.90
  5. Step 5: Solve for x
    x = 56,370,843.90/7,958.87
  6. Step 6: Final answer
    x = 7,082.77

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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.