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Finding the Fourth Proportional to 10,695.84, 16,103.22 and 9,267

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Solution

The fourth proportional to 10,695.84, 16,103.22 and 9,267 is: 13,952.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.84 : 16,103.22 = 9,267 : x
  2. Step 2: Convert to fraction form
    10,695.84/16,103.22 = 9,267/x
  3. Step 3: Cross multiply
    10,695.84x = 16,103.22 × 9,267
  4. Step 4: Simplify right side
    10,695.84x = 149,228,539.74
  5. Step 5: Solve for x
    x = 149,228,539.74/10,695.84
  6. Step 6: Final answer
    x = 13,952.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.