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Finding the Fourth Proportional to 6,575.64, 9,073.56 and 3,922.56

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Solution

The fourth proportional to 6,575.64, 9,073.56 and 3,922.56 is: 5,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.64 : 9,073.56 = 3,922.56 : x
  2. Step 2: Convert to fraction form
    6,575.64/9,073.56 = 3,922.56/x
  3. Step 3: Cross multiply
    6,575.64x = 9,073.56 × 3,922.56
  4. Step 4: Simplify right side
    6,575.64x = 35,591,583.51
  5. Step 5: Solve for x
    x = 35,591,583.51/6,575.64
  6. Step 6: Final answer
    x = 5,412.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.