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Finding the Fourth Proportional to 10,600.34, 15,903 and 10,424.03

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Solution

The fourth proportional to 10,600.34, 15,903 and 10,424.03 is: 15,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.34 : 15,903 = 10,424.03 : x
  2. Step 2: Convert to fraction form
    10,600.34/15,903 = 10,424.03/x
  3. Step 3: Cross multiply
    10,600.34x = 15,903 × 10,424.03
  4. Step 4: Simplify right side
    10,600.34x = 165,773,269.58
  5. Step 5: Solve for x
    x = 165,773,269.58/10,600.34
  6. Step 6: Final answer
    x = 15,638.49

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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.