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Finding the Fourth Proportional to 9,674, 13,350.12 and 5,258

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Solution

The fourth proportional to 9,674, 13,350.12 and 5,258 is: 7,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674 : 13,350.12 = 5,258 : x
  2. Step 2: Convert to fraction form
    9,674/13,350.12 = 5,258/x
  3. Step 3: Cross multiply
    9,674x = 13,350.12 × 5,258
  4. Step 4: Simplify right side
    9,674x = 70,194,930.96
  5. Step 5: Solve for x
    x = 70,194,930.96/9,674
  6. Step 6: Final answer
    x = 7,256.04

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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.