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Finding the Fourth Proportional to 23,786.38, 35,678.19 and 7,146.05

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Solution

The fourth proportional to 23,786.38, 35,678.19 and 7,146.05 is: 10,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786.38 : 35,678.19 = 7,146.05 : x
  2. Step 2: Convert to fraction form
    23,786.38/35,678.19 = 7,146.05/x
  3. Step 3: Cross multiply
    23,786.38x = 35,678.19 × 7,146.05
  4. Step 4: Simplify right side
    23,786.38x = 254,958,129.65
  5. Step 5: Solve for x
    x = 254,958,129.65/23,786.38
  6. Step 6: Final answer
    x = 10,718.66

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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.