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Finding the Fourth Proportional to 12,069.29, 16,654.92 and 7,034.33

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Solution

The fourth proportional to 12,069.29, 16,654.92 and 7,034.33 is: 9,706.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.29 : 16,654.92 = 7,034.33 : x
  2. Step 2: Convert to fraction form
    12,069.29/16,654.92 = 7,034.33/x
  3. Step 3: Cross multiply
    12,069.29x = 16,654.92 × 7,034.33
  4. Step 4: Simplify right side
    12,069.29x = 117,156,120.13
  5. Step 5: Solve for x
    x = 117,156,120.13/12,069.29
  6. Step 6: Final answer
    x = 9,706.96

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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.