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Finding the Fourth Proportional to 27,182.97, 40,768.14 and 7,463.11

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Solution

The fourth proportional to 27,182.97, 40,768.14 and 7,463.11 is: 11,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,182.97 : 40,768.14 = 7,463.11 : x
  2. Step 2: Convert to fraction form
    27,182.97/40,768.14 = 7,463.11/x
  3. Step 3: Cross multiply
    27,182.97x = 40,768.14 × 7,463.11
  4. Step 4: Simplify right side
    27,182.97x = 304,257,113.32
  5. Step 5: Solve for x
    x = 304,257,113.32/27,182.97
  6. Step 6: Final answer
    x = 11,192.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.