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Finding the Fourth Proportional to 6,773.76, 9,340.92 and 4,118.58

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Solution

The fourth proportional to 6,773.76, 9,340.92 and 4,118.58 is: 5,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,773.76 : 9,340.92 = 4,118.58 : x
  2. Step 2: Convert to fraction form
    6,773.76/9,340.92 = 4,118.58/x
  3. Step 3: Cross multiply
    6,773.76x = 9,340.92 × 4,118.58
  4. Step 4: Simplify right side
    6,773.76x = 38,471,326.29
  5. Step 5: Solve for x
    x = 38,471,326.29/6,773.76
  6. Step 6: Final answer
    x = 5,679.46

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Half scale
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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.