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Finding the Fourth Proportional to 8,286.24, 12,417.06 and 6,535.50

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Solution

The fourth proportional to 8,286.24, 12,417.06 and 6,535.50 is: 9,793.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.24 : 12,417.06 = 6,535.50 : x
  2. Step 2: Convert to fraction form
    8,286.24/12,417.06 = 6,535.50/x
  3. Step 3: Cross multiply
    8,286.24x = 12,417.06 × 6,535.50
  4. Step 4: Simplify right side
    8,286.24x = 81,151,695.63
  5. Step 5: Solve for x
    x = 81,151,695.63/8,286.24
  6. Step 6: Final answer
    x = 9,793.55

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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.