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Finding the Fourth Proportional to 7,642.52, 11,463.96 and 2,448.44

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Solution

The fourth proportional to 7,642.52, 11,463.96 and 2,448.44 is: 3,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.52 : 11,463.96 = 2,448.44 : x
  2. Step 2: Convert to fraction form
    7,642.52/11,463.96 = 2,448.44/x
  3. Step 3: Cross multiply
    7,642.52x = 11,463.96 × 2,448.44
  4. Step 4: Simplify right side
    7,642.52x = 28,068,818.22
  5. Step 5: Solve for x
    x = 28,068,818.22/7,642.52
  6. Step 6: Final answer
    x = 3,672.72

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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.