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Finding the Fourth Proportional to 6,695.82, 9,241.30 and 6,400.52

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Solution

The fourth proportional to 6,695.82, 9,241.30 and 6,400.52 is: 8,833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.82 : 9,241.30 = 6,400.52 : x
  2. Step 2: Convert to fraction form
    6,695.82/9,241.30 = 6,400.52/x
  3. Step 3: Cross multiply
    6,695.82x = 9,241.30 × 6,400.52
  4. Step 4: Simplify right side
    6,695.82x = 59,149,125.48
  5. Step 5: Solve for x
    x = 59,149,125.48/6,695.82
  6. Step 6: Final answer
    x = 8,833.74

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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.