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Finding the Fourth Proportional to 4,974.32, 7,461.44 and 1,511.57

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Solution

The fourth proportional to 4,974.32, 7,461.44 and 1,511.57 is: 2,267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.32 : 7,461.44 = 1,511.57 : x
  2. Step 2: Convert to fraction form
    4,974.32/7,461.44 = 1,511.57/x
  3. Step 3: Cross multiply
    4,974.32x = 7,461.44 × 1,511.57
  4. Step 4: Simplify right side
    4,974.32x = 11,278,444.00
  5. Step 5: Solve for x
    x = 11,278,444.00/4,974.32
  6. Step 6: Final answer
    x = 2,267.34

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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.