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Finding the Fourth Proportional to 7,976.20, 12,024.05 and 7,441

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Solution

The fourth proportional to 7,976.20, 12,024.05 and 7,441 is: 11,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.20 : 12,024.05 = 7,441 : x
  2. Step 2: Convert to fraction form
    7,976.20/12,024.05 = 7,441/x
  3. Step 3: Cross multiply
    7,976.20x = 12,024.05 × 7,441
  4. Step 4: Simplify right side
    7,976.20x = 89,470,956.05
  5. Step 5: Solve for x
    x = 89,470,956.05/7,976.20
  6. Step 6: Final answer
    x = 11,217.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.