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Finding the Fourth Proportional to 12,177.54, 16,805.44 and 7,072.68

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Solution

The fourth proportional to 12,177.54, 16,805.44 and 7,072.68 is: 9,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.54 : 16,805.44 = 7,072.68 : x
  2. Step 2: Convert to fraction form
    12,177.54/16,805.44 = 7,072.68/x
  3. Step 3: Cross multiply
    12,177.54x = 16,805.44 × 7,072.68
  4. Step 4: Simplify right side
    12,177.54x = 118,859,499.38
  5. Step 5: Solve for x
    x = 118,859,499.38/12,177.54
  6. Step 6: Final answer
    x = 9,760.55

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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.