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Finding the Fourth Proportional to 4,974.24, 7,462.10 and 1,511.76

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Solution

The fourth proportional to 4,974.24, 7,462.10 and 1,511.76 is: 2,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.24 : 7,462.10 = 1,511.76 : x
  2. Step 2: Convert to fraction form
    4,974.24/7,462.10 = 1,511.76/x
  3. Step 3: Cross multiply
    4,974.24x = 7,462.10 × 1,511.76
  4. Step 4: Simplify right side
    4,974.24x = 11,280,904.30
  5. Step 5: Solve for x
    x = 11,280,904.30/4,974.24
  6. Step 6: Final answer
    x = 2,267.86

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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.