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Finding the Fourth Proportional to 22,577.68, 33,868.14 and 7,786.38

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Solution

The fourth proportional to 22,577.68, 33,868.14 and 7,786.38 is: 11,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.68 : 33,868.14 = 7,786.38 : x
  2. Step 2: Convert to fraction form
    22,577.68/33,868.14 = 7,786.38/x
  3. Step 3: Cross multiply
    22,577.68x = 33,868.14 × 7,786.38
  4. Step 4: Simplify right side
    22,577.68x = 263,710,169.00
  5. Step 5: Solve for x
    x = 263,710,169.00/22,577.68
  6. Step 6: Final answer
    x = 11,680.13

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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.