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Finding the Fourth Proportional to 6,704.25, 9,256.19 and 4,154.71

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Solution

The fourth proportional to 6,704.25, 9,256.19 and 4,154.71 is: 5,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.25 : 9,256.19 = 4,154.71 : x
  2. Step 2: Convert to fraction form
    6,704.25/9,256.19 = 4,154.71/x
  3. Step 3: Cross multiply
    6,704.25x = 9,256.19 × 4,154.71
  4. Step 4: Simplify right side
    6,704.25x = 38,456,785.15
  5. Step 5: Solve for x
    x = 38,456,785.15/6,704.25
  6. Step 6: Final answer
    x = 5,736.18

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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.