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Finding the Fourth Proportional to 6,282.77, 9,411.80 and 3,159

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Solution

The fourth proportional to 6,282.77, 9,411.80 and 3,159 is: 4,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.77 : 9,411.80 = 3,159 : x
  2. Step 2: Convert to fraction form
    6,282.77/9,411.80 = 3,159/x
  3. Step 3: Cross multiply
    6,282.77x = 9,411.80 × 3,159
  4. Step 4: Simplify right side
    6,282.77x = 29,731,860.41
  5. Step 5: Solve for x
    x = 29,731,860.41/6,282.77
  6. Step 6: Final answer
    x = 4,732.29

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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.