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Finding the Fourth Proportional to 7,154.25, 9,873.05 and 3,924.24

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Solution

The fourth proportional to 7,154.25, 9,873.05 and 3,924.24 is: 5,415.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.25 : 9,873.05 = 3,924.24 : x
  2. Step 2: Convert to fraction form
    7,154.25/9,873.05 = 3,924.24/x
  3. Step 3: Cross multiply
    7,154.25x = 9,873.05 × 3,924.24
  4. Step 4: Simplify right side
    7,154.25x = 38,744,217.73
  5. Step 5: Solve for x
    x = 38,744,217.73/7,154.25
  6. Step 6: Final answer
    x = 5,415.55

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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.