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Finding the Fourth Proportional to 6,153.67, 9,229.47 and 2,258.11

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Solution

The fourth proportional to 6,153.67, 9,229.47 and 2,258.11 is: 3,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.67 : 9,229.47 = 2,258.11 : x
  2. Step 2: Convert to fraction form
    6,153.67/9,229.47 = 2,258.11/x
  3. Step 3: Cross multiply
    6,153.67x = 9,229.47 × 2,258.11
  4. Step 4: Simplify right side
    6,153.67x = 20,841,158.50
  5. Step 5: Solve for x
    x = 20,841,158.50/6,153.67
  6. Step 6: Final answer
    x = 3,386.79

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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.