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Finding the Fourth Proportional to 8,175.84, 12,264.91 and 3,246

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Solution

The fourth proportional to 8,175.84, 12,264.91 and 3,246 is: 4,869.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.84 : 12,264.91 = 3,246 : x
  2. Step 2: Convert to fraction form
    8,175.84/12,264.91 = 3,246/x
  3. Step 3: Cross multiply
    8,175.84x = 12,264.91 × 3,246
  4. Step 4: Simplify right side
    8,175.84x = 39,811,897.86
  5. Step 5: Solve for x
    x = 39,811,897.86/8,175.84
  6. Step 6: Final answer
    x = 4,869.46

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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.