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Finding the Fourth Proportional to 25,408, 38,114.16 and 6,940

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Solution

The fourth proportional to 25,408, 38,114.16 and 6,940 is: 10,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408 : 38,114.16 = 6,940 : x
  2. Step 2: Convert to fraction form
    25,408/38,114.16 = 6,940/x
  3. Step 3: Cross multiply
    25,408x = 38,114.16 × 6,940
  4. Step 4: Simplify right side
    25,408x = 264,512,270.40
  5. Step 5: Solve for x
    x = 264,512,270.40/25,408
  6. Step 6: Final answer
    x = 10,410.59

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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.