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Finding the Fourth Proportional to 9,148.59, 13,722.90 and 2,223.09

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Solution

The fourth proportional to 9,148.59, 13,722.90 and 2,223.09 is: 3,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.59 : 13,722.90 = 2,223.09 : x
  2. Step 2: Convert to fraction form
    9,148.59/13,722.90 = 2,223.09/x
  3. Step 3: Cross multiply
    9,148.59x = 13,722.90 × 2,223.09
  4. Step 4: Simplify right side
    9,148.59x = 30,507,241.76
  5. Step 5: Solve for x
    x = 30,507,241.76/9,148.59
  6. Step 6: Final answer
    x = 3,334.64

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Similar ratio
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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.