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Finding the Fourth Proportional to 11,552.10, 17,328.15 and 7,834.20

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Solution

The fourth proportional to 11,552.10, 17,328.15 and 7,834.20 is: 11,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.10 : 17,328.15 = 7,834.20 : x
  2. Step 2: Convert to fraction form
    11,552.10/17,328.15 = 7,834.20/x
  3. Step 3: Cross multiply
    11,552.10x = 17,328.15 × 7,834.20
  4. Step 4: Simplify right side
    11,552.10x = 135,752,192.73
  5. Step 5: Solve for x
    x = 135,752,192.73/11,552.10
  6. Step 6: Final answer
    x = 11,751.30

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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.