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Finding the Fourth Proportional to 5,969.52, 8,244.84 and 4,483.92

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Solution

The fourth proportional to 5,969.52, 8,244.84 and 4,483.92 is: 6,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.52 : 8,244.84 = 4,483.92 : x
  2. Step 2: Convert to fraction form
    5,969.52/8,244.84 = 4,483.92/x
  3. Step 3: Cross multiply
    5,969.52x = 8,244.84 × 4,483.92
  4. Step 4: Simplify right side
    5,969.52x = 36,969,202.97
  5. Step 5: Solve for x
    x = 36,969,202.97/5,969.52
  6. Step 6: Final answer
    x = 6,192.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.