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Finding the Fourth Proportional to 6,424.84, 9,633.78 and 2,959

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Solution

The fourth proportional to 6,424.84, 9,633.78 and 2,959 is: 4,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.84 : 9,633.78 = 2,959 : x
  2. Step 2: Convert to fraction form
    6,424.84/9,633.78 = 2,959/x
  3. Step 3: Cross multiply
    6,424.84x = 9,633.78 × 2,959
  4. Step 4: Simplify right side
    6,424.84x = 28,506,355.02
  5. Step 5: Solve for x
    x = 28,506,355.02/6,424.84
  6. Step 6: Final answer
    x = 4,436.90

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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.