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Finding the Fourth Proportional to 8,195.76, 11,310.12 and 4,658.97

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Solution

The fourth proportional to 8,195.76, 11,310.12 and 4,658.97 is: 6,429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.76 : 11,310.12 = 4,658.97 : x
  2. Step 2: Convert to fraction form
    8,195.76/11,310.12 = 4,658.97/x
  3. Step 3: Cross multiply
    8,195.76x = 11,310.12 × 4,658.97
  4. Step 4: Simplify right side
    8,195.76x = 52,693,509.78
  5. Step 5: Solve for x
    x = 52,693,509.78/8,195.76
  6. Step 6: Final answer
    x = 6,429.36

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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.