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Finding the Fourth Proportional to 6,546.41, 9,815.90 and 4,468.92

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Solution

The fourth proportional to 6,546.41, 9,815.90 and 4,468.92 is: 6,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.41 : 9,815.90 = 4,468.92 : x
  2. Step 2: Convert to fraction form
    6,546.41/9,815.90 = 4,468.92/x
  3. Step 3: Cross multiply
    6,546.41x = 9,815.90 × 4,468.92
  4. Step 4: Simplify right side
    6,546.41x = 43,866,449.48
  5. Step 5: Solve for x
    x = 43,866,449.48/6,546.41
  6. Step 6: Final answer
    x = 6,700.85

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1.5x scale

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.