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Finding the Fourth Proportional to 7,204.71, 9,943.47 and 4,221.73

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Solution

The fourth proportional to 7,204.71, 9,943.47 and 4,221.73 is: 5,826.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.71 : 9,943.47 = 4,221.73 : x
  2. Step 2: Convert to fraction form
    7,204.71/9,943.47 = 4,221.73/x
  3. Step 3: Cross multiply
    7,204.71x = 9,943.47 × 4,221.73
  4. Step 4: Simplify right side
    7,204.71x = 41,978,642.20
  5. Step 5: Solve for x
    x = 41,978,642.20/7,204.71
  6. Step 6: Final answer
    x = 5,826.56

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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.