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Finding the Fourth Proportional to 24,511.26, 36,763.41 and 7,869.10

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Solution

The fourth proportional to 24,511.26, 36,763.41 and 7,869.10 is: 11,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.26 : 36,763.41 = 7,869.10 : x
  2. Step 2: Convert to fraction form
    24,511.26/36,763.41 = 7,869.10/x
  3. Step 3: Cross multiply
    24,511.26x = 36,763.41 × 7,869.10
  4. Step 4: Simplify right side
    24,511.26x = 289,294,949.63
  5. Step 5: Solve for x
    x = 289,294,949.63/24,511.26
  6. Step 6: Final answer
    x = 11,802.53

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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.