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Finding the Fourth Proportional to 6,643.76, 9,964.52 and 2,482.76

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Solution

The fourth proportional to 6,643.76, 9,964.52 and 2,482.76 is: 3,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.76 : 9,964.52 = 2,482.76 : x
  2. Step 2: Convert to fraction form
    6,643.76/9,964.52 = 2,482.76/x
  3. Step 3: Cross multiply
    6,643.76x = 9,964.52 × 2,482.76
  4. Step 4: Simplify right side
    6,643.76x = 24,739,511.68
  5. Step 5: Solve for x
    x = 24,739,511.68/6,643.76
  6. Step 6: Final answer
    x = 3,723.72

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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.