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Finding the Fourth Proportional to 6,257.76, 8,633.76 and 4,162.24

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Solution

The fourth proportional to 6,257.76, 8,633.76 and 4,162.24 is: 5,742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.76 : 8,633.76 = 4,162.24 : x
  2. Step 2: Convert to fraction form
    6,257.76/8,633.76 = 4,162.24/x
  3. Step 3: Cross multiply
    6,257.76x = 8,633.76 × 4,162.24
  4. Step 4: Simplify right side
    6,257.76x = 35,935,781.22
  5. Step 5: Solve for x
    x = 35,935,781.22/6,257.76
  6. Step 6: Final answer
    x = 5,742.59

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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.