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Finding the Fourth Proportional to 6,474.08, 9,711.12 and 1,857.08

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Solution

The fourth proportional to 6,474.08, 9,711.12 and 1,857.08 is: 2,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.08 : 9,711.12 = 1,857.08 : x
  2. Step 2: Convert to fraction form
    6,474.08/9,711.12 = 1,857.08/x
  3. Step 3: Cross multiply
    6,474.08x = 9,711.12 × 1,857.08
  4. Step 4: Simplify right side
    6,474.08x = 18,034,326.73
  5. Step 5: Solve for x
    x = 18,034,326.73/6,474.08
  6. Step 6: Final answer
    x = 2,785.62

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Double scale
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Similar ratio
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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.