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Finding the Fourth Proportional to 6,348.84, 9,522 and 1,965.24

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Solution

The fourth proportional to 6,348.84, 9,522 and 1,965.24 is: 2,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.84 : 9,522 = 1,965.24 : x
  2. Step 2: Convert to fraction form
    6,348.84/9,522 = 1,965.24/x
  3. Step 3: Cross multiply
    6,348.84x = 9,522 × 1,965.24
  4. Step 4: Simplify right side
    6,348.84x = 18,713,015.28
  5. Step 5: Solve for x
    x = 18,713,015.28/6,348.84
  6. Step 6: Final answer
    x = 2,947.47

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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.