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Finding the Fourth Proportional to 7,871.40, 10,812.33 and 7,832.52

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Solution

The fourth proportional to 7,871.40, 10,812.33 and 7,832.52 is: 10,758.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.40 : 10,812.33 = 7,832.52 : x
  2. Step 2: Convert to fraction form
    7,871.40/10,812.33 = 7,832.52/x
  3. Step 3: Cross multiply
    7,871.40x = 10,812.33 × 7,832.52
  4. Step 4: Simplify right side
    7,871.40x = 84,687,790.97
  5. Step 5: Solve for x
    x = 84,687,790.97/7,871.40
  6. Step 6: Final answer
    x = 10,758.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.