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Finding the Fourth Proportional to 6,930.67, 10,397.03 and 2,547.78

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Solution

The fourth proportional to 6,930.67, 10,397.03 and 2,547.78 is: 3,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.67 : 10,397.03 = 2,547.78 : x
  2. Step 2: Convert to fraction form
    6,930.67/10,397.03 = 2,547.78/x
  3. Step 3: Cross multiply
    6,930.67x = 10,397.03 × 2,547.78
  4. Step 4: Simplify right side
    6,930.67x = 26,489,371.09
  5. Step 5: Solve for x
    x = 26,489,371.09/6,930.67
  6. Step 6: Final answer
    x = 3,822.05

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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.