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Finding the Fourth Proportional to 6,901.52, 10,354.08 and 1,971.55

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Solution

The fourth proportional to 6,901.52, 10,354.08 and 1,971.55 is: 2,957.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.52 : 10,354.08 = 1,971.55 : x
  2. Step 2: Convert to fraction form
    6,901.52/10,354.08 = 1,971.55/x
  3. Step 3: Cross multiply
    6,901.52x = 10,354.08 × 1,971.55
  4. Step 4: Simplify right side
    6,901.52x = 20,413,544.71
  5. Step 5: Solve for x
    x = 20,413,544.71/6,901.52
  6. Step 6: Final answer
    x = 2,957.83

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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.