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Finding the Fourth Proportional to 6,901.81, 10,350.32 and 1,970.12

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Solution

The fourth proportional to 6,901.81, 10,350.32 and 1,970.12 is: 2,954.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.81 : 10,350.32 = 1,970.12 : x
  2. Step 2: Convert to fraction form
    6,901.81/10,350.32 = 1,970.12/x
  3. Step 3: Cross multiply
    6,901.81x = 10,350.32 × 1,970.12
  4. Step 4: Simplify right side
    6,901.81x = 20,391,396.78
  5. Step 5: Solve for x
    x = 20,391,396.78/6,901.81
  6. Step 6: Final answer
    x = 2,954.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.