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Finding the Fourth Proportional to 6,954.87, 10,433.32 and 2,023.87

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Solution

The fourth proportional to 6,954.87, 10,433.32 and 2,023.87 is: 3,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.87 : 10,433.32 = 2,023.87 : x
  2. Step 2: Convert to fraction form
    6,954.87/10,433.32 = 2,023.87/x
  3. Step 3: Cross multiply
    6,954.87x = 10,433.32 × 2,023.87
  4. Step 4: Simplify right side
    6,954.87x = 21,115,683.35
  5. Step 5: Solve for x
    x = 21,115,683.35/6,954.87
  6. Step 6: Final answer
    x = 3,036.10

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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.