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Finding the Fourth Proportional to 24,382.54, 36,570.07 and 7,740.42

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Solution

The fourth proportional to 24,382.54, 36,570.07 and 7,740.42 is: 11,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.54 : 36,570.07 = 7,740.42 : x
  2. Step 2: Convert to fraction form
    24,382.54/36,570.07 = 7,740.42/x
  3. Step 3: Cross multiply
    24,382.54x = 36,570.07 × 7,740.42
  4. Step 4: Simplify right side
    24,382.54x = 283,067,701.23
  5. Step 5: Solve for x
    x = 283,067,701.23/24,382.54
  6. Step 6: Final answer
    x = 11,609.44

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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.