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Finding the Fourth Proportional to 4,932.14, 7,365.68 and 4,387.82

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Solution

The fourth proportional to 4,932.14, 7,365.68 and 4,387.82 is: 6,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.14 : 7,365.68 = 4,387.82 : x
  2. Step 2: Convert to fraction form
    4,932.14/7,365.68 = 4,387.82/x
  3. Step 3: Cross multiply
    4,932.14x = 7,365.68 × 4,387.82
  4. Step 4: Simplify right side
    4,932.14x = 32,319,278.02
  5. Step 5: Solve for x
    x = 32,319,278.02/4,932.14
  6. Step 6: Final answer
    x = 6,552.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.