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Finding the Fourth Proportional to 9,650, 14,475 and 2,354

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Solution

The fourth proportional to 9,650, 14,475 and 2,354 is: 3,531

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650 : 14,475 = 2,354 : x
  2. Step 2: Convert to fraction form
    9,650/14,475 = 2,354/x
  3. Step 3: Cross multiply
    9,650x = 14,475 × 2,354
  4. Step 4: Simplify right side
    9,650x = 34,074,150
  5. Step 5: Solve for x
    x = 34,074,150/9,650
  6. Step 6: Final answer
    x = 3,531

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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.