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Finding the Fourth Proportional to 6,776.26, 10,147.88 and 4,690.41

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Solution

The fourth proportional to 6,776.26, 10,147.88 and 4,690.41 is: 7,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.26 : 10,147.88 = 4,690.41 : x
  2. Step 2: Convert to fraction form
    6,776.26/10,147.88 = 4,690.41/x
  3. Step 3: Cross multiply
    6,776.26x = 10,147.88 × 4,690.41
  4. Step 4: Simplify right side
    6,776.26x = 47,597,691.50
  5. Step 5: Solve for x
    x = 47,597,691.50/6,776.26
  6. Step 6: Final answer
    x = 7,024.19

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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.