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Finding the Fourth Proportional to 6,717.75, 9,275.10 and 4,201.08

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Solution

The fourth proportional to 6,717.75, 9,275.10 and 4,201.08 is: 5,800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.75 : 9,275.10 = 4,201.08 : x
  2. Step 2: Convert to fraction form
    6,717.75/9,275.10 = 4,201.08/x
  3. Step 3: Cross multiply
    6,717.75x = 9,275.10 × 4,201.08
  4. Step 4: Simplify right side
    6,717.75x = 38,965,437.11
  5. Step 5: Solve for x
    x = 38,965,437.11/6,717.75
  6. Step 6: Final answer
    x = 5,800.37

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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.