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Finding the Fourth Proportional to 6,411.51, 9,621.56 and 2,251.53

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Solution

The fourth proportional to 6,411.51, 9,621.56 and 2,251.53 is: 3,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.51 : 9,621.56 = 2,251.53 : x
  2. Step 2: Convert to fraction form
    6,411.51/9,621.56 = 2,251.53/x
  3. Step 3: Cross multiply
    6,411.51x = 9,621.56 × 2,251.53
  4. Step 4: Simplify right side
    6,411.51x = 21,663,230.99
  5. Step 5: Solve for x
    x = 21,663,230.99/6,411.51
  6. Step 6: Final answer
    x = 3,378.80

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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.