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Finding the Fourth Proportional to 4,974.72, 7,461.46 and 2,052.64

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Solution

The fourth proportional to 4,974.72, 7,461.46 and 2,052.64 is: 3,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.72 : 7,461.46 = 2,052.64 : x
  2. Step 2: Convert to fraction form
    4,974.72/7,461.46 = 2,052.64/x
  3. Step 3: Cross multiply
    4,974.72x = 7,461.46 × 2,052.64
  4. Step 4: Simplify right side
    4,974.72x = 15,315,691.25
  5. Step 5: Solve for x
    x = 15,315,691.25/4,974.72
  6. Step 6: Final answer
    x = 3,078.70

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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.