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Finding the Fourth Proportional to 6,981.60, 10,471.44 and 2,601.12

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Solution

The fourth proportional to 6,981.60, 10,471.44 and 2,601.12 is: 3,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.60 : 10,471.44 = 2,601.12 : x
  2. Step 2: Convert to fraction form
    6,981.60/10,471.44 = 2,601.12/x
  3. Step 3: Cross multiply
    6,981.60x = 10,471.44 × 2,601.12
  4. Step 4: Simplify right side
    6,981.60x = 27,237,472.01
  5. Step 5: Solve for x
    x = 27,237,472.01/6,981.60
  6. Step 6: Final answer
    x = 3,901.32

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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.