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Finding the Fourth Proportional to 6,449.34, 9,672.13 and 2,499.72

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Solution

The fourth proportional to 6,449.34, 9,672.13 and 2,499.72 is: 3,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.34 : 9,672.13 = 2,499.72 : x
  2. Step 2: Convert to fraction form
    6,449.34/9,672.13 = 2,499.72/x
  3. Step 3: Cross multiply
    6,449.34x = 9,672.13 × 2,499.72
  4. Step 4: Simplify right side
    6,449.34x = 24,177,583.66
  5. Step 5: Solve for x
    x = 24,177,583.66/6,449.34
  6. Step 6: Final answer
    x = 3,748.84

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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.