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Finding the Fourth Proportional to 22,935, 34,408.28 and 6,519

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Solution

The fourth proportional to 22,935, 34,408.28 and 6,519 is: 9,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,935 : 34,408.28 = 6,519 : x
  2. Step 2: Convert to fraction form
    22,935/34,408.28 = 6,519/x
  3. Step 3: Cross multiply
    22,935x = 34,408.28 × 6,519
  4. Step 4: Simplify right side
    22,935x = 224,307,577.32
  5. Step 5: Solve for x
    x = 224,307,577.32/22,935
  6. Step 6: Final answer
    x = 9,780.14

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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.