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Finding the Fourth Proportional to 9,704, 14,556 and 2,408

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Solution

The fourth proportional to 9,704, 14,556 and 2,408 is: 3,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704 : 14,556 = 2,408 : x
  2. Step 2: Convert to fraction form
    9,704/14,556 = 2,408/x
  3. Step 3: Cross multiply
    9,704x = 14,556 × 2,408
  4. Step 4: Simplify right side
    9,704x = 35,050,848
  5. Step 5: Solve for x
    x = 35,050,848/9,704
  6. Step 6: Final answer
    x = 3,612

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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.