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Finding the Fourth Proportional to 6,416, 9,624 and 1,552

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Solution

The fourth proportional to 6,416, 9,624 and 1,552 is: 2,328

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416 : 9,624 = 1,552 : x
  2. Step 2: Convert to fraction form
    6,416/9,624 = 1,552/x
  3. Step 3: Cross multiply
    6,416x = 9,624 × 1,552
  4. Step 4: Simplify right side
    6,416x = 14,936,448
  5. Step 5: Solve for x
    x = 14,936,448/6,416
  6. Step 6: Final answer
    x = 2,328

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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.