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Finding the Fourth Proportional to 6,107.52, 8,423.10 and 3,866.88

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Solution

The fourth proportional to 6,107.52, 8,423.10 and 3,866.88 is: 5,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.52 : 8,423.10 = 3,866.88 : x
  2. Step 2: Convert to fraction form
    6,107.52/8,423.10 = 3,866.88/x
  3. Step 3: Cross multiply
    6,107.52x = 8,423.10 × 3,866.88
  4. Step 4: Simplify right side
    6,107.52x = 32,571,116.93
  5. Step 5: Solve for x
    x = 32,571,116.93/6,107.52
  6. Step 6: Final answer
    x = 5,332.95

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Half scale
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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.