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Finding the Fourth Proportional to 6,938.70, 10,398.81 and 2,552.10

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Solution

The fourth proportional to 6,938.70, 10,398.81 and 2,552.10 is: 3,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.70 : 10,398.81 = 2,552.10 : x
  2. Step 2: Convert to fraction form
    6,938.70/10,398.81 = 2,552.10/x
  3. Step 3: Cross multiply
    6,938.70x = 10,398.81 × 2,552.10
  4. Step 4: Simplify right side
    6,938.70x = 26,538,803.00
  5. Step 5: Solve for x
    x = 26,538,803.00/6,938.70
  6. Step 6: Final answer
    x = 3,824.75

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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.