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Finding the Fourth Proportional to 10,648.29, 15,956 and 6,744.49

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Solution

The fourth proportional to 10,648.29, 15,956 and 6,744.49 is: 10,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.29 : 15,956 = 6,744.49 : x
  2. Step 2: Convert to fraction form
    10,648.29/15,956 = 6,744.49/x
  3. Step 3: Cross multiply
    10,648.29x = 15,956 × 6,744.49
  4. Step 4: Simplify right side
    10,648.29x = 107,615,082.44
  5. Step 5: Solve for x
    x = 107,615,082.44/10,648.29
  6. Step 6: Final answer
    x = 10,106.33

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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.