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Finding the Fourth Proportional to 4,461.74, 6,157.02 and 2,472.38

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Solution

The fourth proportional to 4,461.74, 6,157.02 and 2,472.38 is: 3,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.74 : 6,157.02 = 2,472.38 : x
  2. Step 2: Convert to fraction form
    4,461.74/6,157.02 = 2,472.38/x
  3. Step 3: Cross multiply
    4,461.74x = 6,157.02 × 2,472.38
  4. Step 4: Simplify right side
    4,461.74x = 15,222,493.11
  5. Step 5: Solve for x
    x = 15,222,493.11/4,461.74
  6. Step 6: Final answer
    x = 3,411.78

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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.