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Finding the Fourth Proportional to 7,808.32, 11,711.04 and 4,098.88

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Solution

The fourth proportional to 7,808.32, 11,711.04 and 4,098.88 is: 6,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.32 : 11,711.04 = 4,098.88 : x
  2. Step 2: Convert to fraction form
    7,808.32/11,711.04 = 4,098.88/x
  3. Step 3: Cross multiply
    7,808.32x = 11,711.04 × 4,098.88
  4. Step 4: Simplify right side
    7,808.32x = 48,002,147.64
  5. Step 5: Solve for x
    x = 48,002,147.64/7,808.32
  6. Step 6: Final answer
    x = 6,147.56

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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.