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Finding the Fourth Proportional to 7,844.42, 11,781.22 and 7,193.18

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Solution

The fourth proportional to 7,844.42, 11,781.22 and 7,193.18 is: 10,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.42 : 11,781.22 = 7,193.18 : x
  2. Step 2: Convert to fraction form
    7,844.42/11,781.22 = 7,193.18/x
  3. Step 3: Cross multiply
    7,844.42x = 11,781.22 × 7,193.18
  4. Step 4: Simplify right side
    7,844.42x = 84,744,436.08
  5. Step 5: Solve for x
    x = 84,744,436.08/7,844.42
  6. Step 6: Final answer
    x = 10,803.15

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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.