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Finding the Fourth Proportional to 7,220.76, 9,964.17 and 4,195.61

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Solution

The fourth proportional to 7,220.76, 9,964.17 and 4,195.61 is: 5,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.76 : 9,964.17 = 4,195.61 : x
  2. Step 2: Convert to fraction form
    7,220.76/9,964.17 = 4,195.61/x
  3. Step 3: Cross multiply
    7,220.76x = 9,964.17 × 4,195.61
  4. Step 4: Simplify right side
    7,220.76x = 41,805,721.47
  5. Step 5: Solve for x
    x = 41,805,721.47/7,220.76
  6. Step 6: Final answer
    x = 5,789.66

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Half scale
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Double scale
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Similar ratio
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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.