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Finding the Fourth Proportional to 8,265.90, 11,393.82 and 6,494.46

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Solution

The fourth proportional to 8,265.90, 11,393.82 and 6,494.46 is: 8,952.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.90 : 11,393.82 = 6,494.46 : x
  2. Step 2: Convert to fraction form
    8,265.90/11,393.82 = 6,494.46/x
  3. Step 3: Cross multiply
    8,265.90x = 11,393.82 × 6,494.46
  4. Step 4: Simplify right side
    8,265.90x = 73,996,708.24
  5. Step 5: Solve for x
    x = 73,996,708.24/8,265.90
  6. Step 6: Final answer
    x = 8,952.04

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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.