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Finding the Fourth Proportional to 4,967.46, 6,862.86 and 4,229.28

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Solution

The fourth proportional to 4,967.46, 6,862.86 and 4,229.28 is: 5,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.46 : 6,862.86 = 4,229.28 : x
  2. Step 2: Convert to fraction form
    4,967.46/6,862.86 = 4,229.28/x
  3. Step 3: Cross multiply
    4,967.46x = 6,862.86 × 4,229.28
  4. Step 4: Simplify right side
    4,967.46x = 29,024,956.54
  5. Step 5: Solve for x
    x = 29,024,956.54/4,967.46
  6. Step 6: Final answer
    x = 5,843.02

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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.