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Finding the Fourth Proportional to 6,943.20, 10,425.60 and 4,027.20

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Solution

The fourth proportional to 6,943.20, 10,425.60 and 4,027.20 is: 6,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.20 : 10,425.60 = 4,027.20 : x
  2. Step 2: Convert to fraction form
    6,943.20/10,425.60 = 4,027.20/x
  3. Step 3: Cross multiply
    6,943.20x = 10,425.60 × 4,027.20
  4. Step 4: Simplify right side
    6,943.20x = 41,985,976.32
  5. Step 5: Solve for x
    x = 41,985,976.32/6,943.20
  6. Step 6: Final answer
    x = 6,047.06

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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.