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Finding the Fourth Proportional to 4,974.18, 7,462.17 and 1,511.34

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Solution

The fourth proportional to 4,974.18, 7,462.17 and 1,511.34 is: 2,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.18 : 7,462.17 = 1,511.34 : x
  2. Step 2: Convert to fraction form
    4,974.18/7,462.17 = 1,511.34/x
  3. Step 3: Cross multiply
    4,974.18x = 7,462.17 × 1,511.34
  4. Step 4: Simplify right side
    4,974.18x = 11,277,876.01
  5. Step 5: Solve for x
    x = 11,277,876.01/4,974.18
  6. Step 6: Final answer
    x = 2,267.28

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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.