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Finding the Fourth Proportional to 8,301.44, 12,452.16 and 5,696.48

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Solution

The fourth proportional to 8,301.44, 12,452.16 and 5,696.48 is: 8,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.44 : 12,452.16 = 5,696.48 : x
  2. Step 2: Convert to fraction form
    8,301.44/12,452.16 = 5,696.48/x
  3. Step 3: Cross multiply
    8,301.44x = 12,452.16 × 5,696.48
  4. Step 4: Simplify right side
    8,301.44x = 70,933,480.40
  5. Step 5: Solve for x
    x = 70,933,480.40/8,301.44
  6. Step 6: Final answer
    x = 8,544.72

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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.