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Finding the Fourth Proportional to 6,970.76, 10,449.42 and 2,351.24

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Solution

The fourth proportional to 6,970.76, 10,449.42 and 2,351.24 is: 3,524.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.76 : 10,449.42 = 2,351.24 : x
  2. Step 2: Convert to fraction form
    6,970.76/10,449.42 = 2,351.24/x
  3. Step 3: Cross multiply
    6,970.76x = 10,449.42 × 2,351.24
  4. Step 4: Simplify right side
    6,970.76x = 24,569,094.28
  5. Step 5: Solve for x
    x = 24,569,094.28/6,970.76
  6. Step 6: Final answer
    x = 3,524.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.