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Finding the Fourth Proportional to 6,251.64, 9,419.18 and 5,659.40

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Solution

The fourth proportional to 6,251.64, 9,419.18 and 5,659.40 is: 8,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,251.64 : 9,419.18 = 5,659.40 : x
  2. Step 2: Convert to fraction form
    6,251.64/9,419.18 = 5,659.40/x
  3. Step 3: Cross multiply
    6,251.64x = 9,419.18 × 5,659.40
  4. Step 4: Simplify right side
    6,251.64x = 53,306,907.29
  5. Step 5: Solve for x
    x = 53,306,907.29/6,251.64
  6. Step 6: Final answer
    x = 8,526.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.