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Finding the Fourth Proportional to 24,310.69, 36,472.19 and 6,780.51

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Solution

The fourth proportional to 24,310.69, 36,472.19 and 6,780.51 is: 10,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310.69 : 36,472.19 = 6,780.51 : x
  2. Step 2: Convert to fraction form
    24,310.69/36,472.19 = 6,780.51/x
  3. Step 3: Cross multiply
    24,310.69x = 36,472.19 × 6,780.51
  4. Step 4: Simplify right side
    24,310.69x = 247,300,015.11
  5. Step 5: Solve for x
    x = 247,300,015.11/24,310.69
  6. Step 6: Final answer
    x = 10,172.48

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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.