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Finding the Fourth Proportional to 17,301.64, 25,952.26 and 6,772.64

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Solution

The fourth proportional to 17,301.64, 25,952.26 and 6,772.64 is: 10,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.64 : 25,952.26 = 6,772.64 : x
  2. Step 2: Convert to fraction form
    17,301.64/25,952.26 = 6,772.64/x
  3. Step 3: Cross multiply
    17,301.64x = 25,952.26 × 6,772.64
  4. Step 4: Simplify right side
    17,301.64x = 175,765,314.17
  5. Step 5: Solve for x
    x = 175,765,314.17/17,301.64
  6. Step 6: Final answer
    x = 10,158.88

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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.