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Finding the Fourth Proportional to 6,938.65, 10,408.29 and 2,258.65

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Solution

The fourth proportional to 6,938.65, 10,408.29 and 2,258.65 is: 3,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.65 : 10,408.29 = 2,258.65 : x
  2. Step 2: Convert to fraction form
    6,938.65/10,408.29 = 2,258.65/x
  3. Step 3: Cross multiply
    6,938.65x = 10,408.29 × 2,258.65
  4. Step 4: Simplify right side
    6,938.65x = 23,508,684.21
  5. Step 5: Solve for x
    x = 23,508,684.21/6,938.65
  6. Step 6: Final answer
    x = 3,388.08

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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.