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Finding the Fourth Proportional to 9,200.64, 13,801.14 and 2,627.04

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Solution

The fourth proportional to 9,200.64, 13,801.14 and 2,627.04 is: 3,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.64 : 13,801.14 = 2,627.04 : x
  2. Step 2: Convert to fraction form
    9,200.64/13,801.14 = 2,627.04/x
  3. Step 3: Cross multiply
    9,200.64x = 13,801.14 × 2,627.04
  4. Step 4: Simplify right side
    9,200.64x = 36,256,146.83
  5. Step 5: Solve for x
    x = 36,256,146.83/9,200.64
  6. Step 6: Final answer
    x = 3,940.61

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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.