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Finding the Fourth Proportional to 6,348.13, 9,522.64 and 1,965.01

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Solution

The fourth proportional to 6,348.13, 9,522.64 and 1,965.01 is: 2,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.13 : 9,522.64 = 1,965.01 : x
  2. Step 2: Convert to fraction form
    6,348.13/9,522.64 = 1,965.01/x
  3. Step 3: Cross multiply
    6,348.13x = 9,522.64 × 1,965.01
  4. Step 4: Simplify right side
    6,348.13x = 18,712,082.83
  5. Step 5: Solve for x
    x = 18,712,082.83/6,348.13
  6. Step 6: Final answer
    x = 2,947.65

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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.