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Finding the Fourth Proportional to 11,843.42, 17,776.94 and 7,463.88

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Solution

The fourth proportional to 11,843.42, 17,776.94 and 7,463.88 is: 11,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.42 : 17,776.94 = 7,463.88 : x
  2. Step 2: Convert to fraction form
    11,843.42/17,776.94 = 7,463.88/x
  3. Step 3: Cross multiply
    11,843.42x = 17,776.94 × 7,463.88
  4. Step 4: Simplify right side
    11,843.42x = 132,684,909.61
  5. Step 5: Solve for x
    x = 132,684,909.61/11,843.42
  6. Step 6: Final answer
    x = 11,203.26

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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.