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Finding the Fourth Proportional to 6,695.43, 9,240.84 and 3,862.30

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Solution

The fourth proportional to 6,695.43, 9,240.84 and 3,862.30 is: 5,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.43 : 9,240.84 = 3,862.30 : x
  2. Step 2: Convert to fraction form
    6,695.43/9,240.84 = 3,862.30/x
  3. Step 3: Cross multiply
    6,695.43x = 9,240.84 × 3,862.30
  4. Step 4: Simplify right side
    6,695.43x = 35,690,830.82
  5. Step 5: Solve for x
    x = 35,690,830.82/6,695.43
  6. Step 6: Final answer
    x = 5,330.63

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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.