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Finding the Fourth Proportional to 6,967.70, 10,451.42 and 2,807.60

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Solution

The fourth proportional to 6,967.70, 10,451.42 and 2,807.60 is: 4,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.70 : 10,451.42 = 2,807.60 : x
  2. Step 2: Convert to fraction form
    6,967.70/10,451.42 = 2,807.60/x
  3. Step 3: Cross multiply
    6,967.70x = 10,451.42 × 2,807.60
  4. Step 4: Simplify right side
    6,967.70x = 29,343,351.03
  5. Step 5: Solve for x
    x = 29,343,351.03/6,967.70
  6. Step 6: Final answer
    x = 4,211.34

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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.