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Finding the Fourth Proportional to 7,001.94, 9,663.38 and 5,230.48

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Solution

The fourth proportional to 7,001.94, 9,663.38 and 5,230.48 is: 7,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.94 : 9,663.38 = 5,230.48 : x
  2. Step 2: Convert to fraction form
    7,001.94/9,663.38 = 5,230.48/x
  3. Step 3: Cross multiply
    7,001.94x = 9,663.38 × 5,230.48
  4. Step 4: Simplify right side
    7,001.94x = 50,544,115.82
  5. Step 5: Solve for x
    x = 50,544,115.82/7,001.94
  6. Step 6: Final answer
    x = 7,218.59

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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.