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Finding the Fourth Proportional to 5,966.24, 8,960.49 and 5,478.62

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Solution

The fourth proportional to 5,966.24, 8,960.49 and 5,478.62 is: 8,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.24 : 8,960.49 = 5,478.62 : x
  2. Step 2: Convert to fraction form
    5,966.24/8,960.49 = 5,478.62/x
  3. Step 3: Cross multiply
    5,966.24x = 8,960.49 × 5,478.62
  4. Step 4: Simplify right side
    5,966.24x = 49,091,074.92
  5. Step 5: Solve for x
    x = 49,091,074.92/5,966.24
  6. Step 6: Final answer
    x = 8,228.15

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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.