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Finding the Fourth Proportional to 6,963, 10,444.65 and 3,263.19

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Solution

The fourth proportional to 6,963, 10,444.65 and 3,263.19 is: 4,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963 : 10,444.65 = 3,263.19 : x
  2. Step 2: Convert to fraction form
    6,963/10,444.65 = 3,263.19/x
  3. Step 3: Cross multiply
    6,963x = 10,444.65 × 3,263.19
  4. Step 4: Simplify right side
    6,963x = 34,082,877.43
  5. Step 5: Solve for x
    x = 34,082,877.43/6,963
  6. Step 6: Final answer
    x = 4,894.86

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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.