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Finding the Fourth Proportional to 7,862.13, 11,793.31 and 2,314.22

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Solution

The fourth proportional to 7,862.13, 11,793.31 and 2,314.22 is: 3,471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.13 : 11,793.31 = 2,314.22 : x
  2. Step 2: Convert to fraction form
    7,862.13/11,793.31 = 2,314.22/x
  3. Step 3: Cross multiply
    7,862.13x = 11,793.31 × 2,314.22
  4. Step 4: Simplify right side
    7,862.13x = 27,292,254.90
  5. Step 5: Solve for x
    x = 27,292,254.90/7,862.13
  6. Step 6: Final answer
    x = 3,471.36

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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.