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Finding the Fourth Proportional to 6,901.67, 10,349.40 and 1,970.14

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Solution

The fourth proportional to 6,901.67, 10,349.40 and 1,970.14 is: 2,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.67 : 10,349.40 = 1,970.14 : x
  2. Step 2: Convert to fraction form
    6,901.67/10,349.40 = 1,970.14/x
  3. Step 3: Cross multiply
    6,901.67x = 10,349.40 × 1,970.14
  4. Step 4: Simplify right side
    6,901.67x = 20,389,766.92
  5. Step 5: Solve for x
    x = 20,389,766.92/6,901.67
  6. Step 6: Final answer
    x = 2,954.32

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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.