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Finding the Fourth Proportional to 6,511.68, 8,986.14 and 3,717

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Solution

The fourth proportional to 6,511.68, 8,986.14 and 3,717 is: 5,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.68 : 8,986.14 = 3,717 : x
  2. Step 2: Convert to fraction form
    6,511.68/8,986.14 = 3,717/x
  3. Step 3: Cross multiply
    6,511.68x = 8,986.14 × 3,717
  4. Step 4: Simplify right side
    6,511.68x = 33,401,482.38
  5. Step 5: Solve for x
    x = 33,401,482.38/6,511.68
  6. Step 6: Final answer
    x = 5,129.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.