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Finding the Fourth Proportional to 6,344.76, 9,517.14 and 3,746.28

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Solution

The fourth proportional to 6,344.76, 9,517.14 and 3,746.28 is: 5,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.76 : 9,517.14 = 3,746.28 : x
  2. Step 2: Convert to fraction form
    6,344.76/9,517.14 = 3,746.28/x
  3. Step 3: Cross multiply
    6,344.76x = 9,517.14 × 3,746.28
  4. Step 4: Simplify right side
    6,344.76x = 35,653,871.24
  5. Step 5: Solve for x
    x = 35,653,871.24/6,344.76
  6. Step 6: Final answer
    x = 5,619.42

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Double scale
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Similar ratio
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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.