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Finding the Fourth Proportional to 9,600.32, 13,250.16 and 5,621.20

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Solution

The fourth proportional to 9,600.32, 13,250.16 and 5,621.20 is: 7,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.32 : 13,250.16 = 5,621.20 : x
  2. Step 2: Convert to fraction form
    9,600.32/13,250.16 = 5,621.20/x
  3. Step 3: Cross multiply
    9,600.32x = 13,250.16 × 5,621.20
  4. Step 4: Simplify right side
    9,600.32x = 74,481,799.39
  5. Step 5: Solve for x
    x = 74,481,799.39/9,600.32
  6. Step 6: Final answer
    x = 7,758.26

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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.