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Finding the Fourth Proportional to 4,257.16, 6,425.72 and 4,257.16

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Solution

The fourth proportional to 4,257.16, 6,425.72 and 4,257.16 is: 6,425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.16 : 6,425.72 = 4,257.16 : x
  2. Step 2: Convert to fraction form
    4,257.16/6,425.72 = 4,257.16/x
  3. Step 3: Cross multiply
    4,257.16x = 6,425.72 × 4,257.16
  4. Step 4: Simplify right side
    4,257.16x = 27,355,294.20
  5. Step 5: Solve for x
    x = 27,355,294.20/4,257.16
  6. Step 6: Final answer
    x = 6,425.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.