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Finding the Fourth Proportional to 6,173.89, 9,258 and 2,275.57

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Solution

The fourth proportional to 6,173.89, 9,258 and 2,275.57 is: 3,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.89 : 9,258 = 2,275.57 : x
  2. Step 2: Convert to fraction form
    6,173.89/9,258 = 2,275.57/x
  3. Step 3: Cross multiply
    6,173.89x = 9,258 × 2,275.57
  4. Step 4: Simplify right side
    6,173.89x = 21,067,227.06
  5. Step 5: Solve for x
    x = 21,067,227.06/6,173.89
  6. Step 6: Final answer
    x = 3,412.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.