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Finding the Fourth Proportional to 6,284.74, 9,427.11 and 5,100.12

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Solution

The fourth proportional to 6,284.74, 9,427.11 and 5,100.12 is: 7,650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.74 : 9,427.11 = 5,100.12 : x
  2. Step 2: Convert to fraction form
    6,284.74/9,427.11 = 5,100.12/x
  3. Step 3: Cross multiply
    6,284.74x = 9,427.11 × 5,100.12
  4. Step 4: Simplify right side
    6,284.74x = 48,079,392.25
  5. Step 5: Solve for x
    x = 48,079,392.25/6,284.74
  6. Step 6: Final answer
    x = 7,650.18

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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.