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Finding the Fourth Proportional to 7,836.62, 10,808.42 and 4,854.11

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Solution

The fourth proportional to 7,836.62, 10,808.42 and 4,854.11 is: 6,694.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.62 : 10,808.42 = 4,854.11 : x
  2. Step 2: Convert to fraction form
    7,836.62/10,808.42 = 4,854.11/x
  3. Step 3: Cross multiply
    7,836.62x = 10,808.42 × 4,854.11
  4. Step 4: Simplify right side
    7,836.62x = 52,465,259.61
  5. Step 5: Solve for x
    x = 52,465,259.61/7,836.62
  6. Step 6: Final answer
    x = 6,694.88

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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.