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Finding the Fourth Proportional to 12,182.59, 16,809.59 and 6,876.38

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Solution

The fourth proportional to 12,182.59, 16,809.59 and 6,876.38 is: 9,488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.59 : 16,809.59 = 6,876.38 : x
  2. Step 2: Convert to fraction form
    12,182.59/16,809.59 = 6,876.38/x
  3. Step 3: Cross multiply
    12,182.59x = 16,809.59 × 6,876.38
  4. Step 4: Simplify right side
    12,182.59x = 115,589,128.48
  5. Step 5: Solve for x
    x = 115,589,128.48/12,182.59
  6. Step 6: Final answer
    x = 9,488.06

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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.