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Finding the Fourth Proportional to 9,164.64, 13,747.04 and 2,591.04

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Solution

The fourth proportional to 9,164.64, 13,747.04 and 2,591.04 is: 3,886.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.64 : 13,747.04 = 2,591.04 : x
  2. Step 2: Convert to fraction form
    9,164.64/13,747.04 = 2,591.04/x
  3. Step 3: Cross multiply
    9,164.64x = 13,747.04 × 2,591.04
  4. Step 4: Simplify right side
    9,164.64x = 35,619,130.52
  5. Step 5: Solve for x
    x = 35,619,130.52/9,164.64
  6. Step 6: Final answer
    x = 3,886.58

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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.