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Finding the Fourth Proportional to 6,371.50, 9,559.68 and 2,476.21

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Solution

The fourth proportional to 6,371.50, 9,559.68 and 2,476.21 is: 3,715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.50 : 9,559.68 = 2,476.21 : x
  2. Step 2: Convert to fraction form
    6,371.50/9,559.68 = 2,476.21/x
  3. Step 3: Cross multiply
    6,371.50x = 9,559.68 × 2,476.21
  4. Step 4: Simplify right side
    6,371.50x = 23,671,775.21
  5. Step 5: Solve for x
    x = 23,671,775.21/6,371.50
  6. Step 6: Final answer
    x = 3,715.26

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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.