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Finding the Fourth Proportional to 12,202.29, 16,839.86 and 6,897.57

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Solution

The fourth proportional to 12,202.29, 16,839.86 and 6,897.57 is: 9,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.29 : 16,839.86 = 6,897.57 : x
  2. Step 2: Convert to fraction form
    12,202.29/16,839.86 = 6,897.57/x
  3. Step 3: Cross multiply
    12,202.29x = 16,839.86 × 6,897.57
  4. Step 4: Simplify right side
    12,202.29x = 116,154,078.65
  5. Step 5: Solve for x
    x = 116,154,078.65/12,202.29
  6. Step 6: Final answer
    x = 9,519.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.