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Finding the Fourth Proportional to 7,298.64, 10,947.97 and 2,033.66

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Solution

The fourth proportional to 7,298.64, 10,947.97 and 2,033.66 is: 3,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,298.64 : 10,947.97 = 2,033.66 : x
  2. Step 2: Convert to fraction form
    7,298.64/10,947.97 = 2,033.66/x
  3. Step 3: Cross multiply
    7,298.64x = 10,947.97 × 2,033.66
  4. Step 4: Simplify right side
    7,298.64x = 22,264,470.96
  5. Step 5: Solve for x
    x = 22,264,470.96/7,298.64
  6. Step 6: Final answer
    x = 3,050.50

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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.