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Finding the Fourth Proportional to 6,899.20, 9,525.12 and 4,250.20

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Solution

The fourth proportional to 6,899.20, 9,525.12 and 4,250.20 is: 5,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.20 : 9,525.12 = 4,250.20 : x
  2. Step 2: Convert to fraction form
    6,899.20/9,525.12 = 4,250.20/x
  3. Step 3: Cross multiply
    6,899.20x = 9,525.12 × 4,250.20
  4. Step 4: Simplify right side
    6,899.20x = 40,483,665.02
  5. Step 5: Solve for x
    x = 40,483,665.02/6,899.20
  6. Step 6: Final answer
    x = 5,867.88

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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.