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Finding the Fourth Proportional to 6,272.56, 9,410 and 5,112.85

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Solution

The fourth proportional to 6,272.56, 9,410 and 5,112.85 is: 7,670.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.56 : 9,410 = 5,112.85 : x
  2. Step 2: Convert to fraction form
    6,272.56/9,410 = 5,112.85/x
  3. Step 3: Cross multiply
    6,272.56x = 9,410 × 5,112.85
  4. Step 4: Simplify right side
    6,272.56x = 48,111,918.50
  5. Step 5: Solve for x
    x = 48,111,918.50/6,272.56
  6. Step 6: Final answer
    x = 7,670.22

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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.