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Finding the Fourth Proportional to 6,993.64, 10,496.22 and 3,531.88

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Solution

The fourth proportional to 6,993.64, 10,496.22 and 3,531.88 is: 5,300.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.64 : 10,496.22 = 3,531.88 : x
  2. Step 2: Convert to fraction form
    6,993.64/10,496.22 = 3,531.88/x
  3. Step 3: Cross multiply
    6,993.64x = 10,496.22 × 3,531.88
  4. Step 4: Simplify right side
    6,993.64x = 37,071,389.49
  5. Step 5: Solve for x
    x = 37,071,389.49/6,993.64
  6. Step 6: Final answer
    x = 5,300.73

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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.