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Finding the Fourth Proportional to 9,164.53, 13,746.67 and 2,239.09

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Solution

The fourth proportional to 9,164.53, 13,746.67 and 2,239.09 is: 3,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.53 : 13,746.67 = 2,239.09 : x
  2. Step 2: Convert to fraction form
    9,164.53/13,746.67 = 2,239.09/x
  3. Step 3: Cross multiply
    9,164.53x = 13,746.67 × 2,239.09
  4. Step 4: Simplify right side
    9,164.53x = 30,780,031.33
  5. Step 5: Solve for x
    x = 30,780,031.33/9,164.53
  6. Step 6: Final answer
    x = 3,358.60

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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.