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Finding the Fourth Proportional to 5,959.52, 8,223.76 and 3,306.76

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Solution

The fourth proportional to 5,959.52, 8,223.76 and 3,306.76 is: 4,563.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.52 : 8,223.76 = 3,306.76 : x
  2. Step 2: Convert to fraction form
    5,959.52/8,223.76 = 3,306.76/x
  3. Step 3: Cross multiply
    5,959.52x = 8,223.76 × 3,306.76
  4. Step 4: Simplify right side
    5,959.52x = 27,194,000.62
  5. Step 5: Solve for x
    x = 27,194,000.62/5,959.52
  6. Step 6: Final answer
    x = 4,563.12

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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.