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Finding the Fourth Proportional to 4,672.68, 6,456.48 and 3,736.20

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Solution

The fourth proportional to 4,672.68, 6,456.48 and 3,736.20 is: 5,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.68 : 6,456.48 = 3,736.20 : x
  2. Step 2: Convert to fraction form
    4,672.68/6,456.48 = 3,736.20/x
  3. Step 3: Cross multiply
    4,672.68x = 6,456.48 × 3,736.20
  4. Step 4: Simplify right side
    4,672.68x = 24,122,700.58
  5. Step 5: Solve for x
    x = 24,122,700.58/4,672.68
  6. Step 6: Final answer
    x = 5,162.50

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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.