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Finding the Fourth Proportional to 5,149.42, 7,724.12 and 1,862.51

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Solution

The fourth proportional to 5,149.42, 7,724.12 and 1,862.51 is: 2,793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.42 : 7,724.12 = 1,862.51 : x
  2. Step 2: Convert to fraction form
    5,149.42/7,724.12 = 1,862.51/x
  3. Step 3: Cross multiply
    5,149.42x = 7,724.12 × 1,862.51
  4. Step 4: Simplify right side
    5,149.42x = 14,386,231.77
  5. Step 5: Solve for x
    x = 14,386,231.77/5,149.42
  6. Step 6: Final answer
    x = 2,793.76

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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.