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Finding the Fourth Proportional to 9,281.62, 13,922.43 and 2,261.62

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Solution

The fourth proportional to 9,281.62, 13,922.43 and 2,261.62 is: 3,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.62 : 13,922.43 = 2,261.62 : x
  2. Step 2: Convert to fraction form
    9,281.62/13,922.43 = 2,261.62/x
  3. Step 3: Cross multiply
    9,281.62x = 13,922.43 × 2,261.62
  4. Step 4: Simplify right side
    9,281.62x = 31,487,246.14
  5. Step 5: Solve for x
    x = 31,487,246.14/9,281.62
  6. Step 6: Final answer
    x = 3,392.43

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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.