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Finding the Fourth Proportional to 5,563.92, 7,661.88 and 4,974.24

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Solution

The fourth proportional to 5,563.92, 7,661.88 and 4,974.24 is: 6,849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.92 : 7,661.88 = 4,974.24 : x
  2. Step 2: Convert to fraction form
    5,563.92/7,661.88 = 4,974.24/x
  3. Step 3: Cross multiply
    5,563.92x = 7,661.88 × 4,974.24
  4. Step 4: Simplify right side
    5,563.92x = 38,112,029.97
  5. Step 5: Solve for x
    x = 38,112,029.97/5,563.92
  6. Step 6: Final answer
    x = 6,849.85

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Half scale
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Double scale
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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.