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Finding the Fourth Proportional to 6,012.24, 8,297.48 and 4,146

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Solution

The fourth proportional to 6,012.24, 8,297.48 and 4,146 is: 5,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.24 : 8,297.48 = 4,146 : x
  2. Step 2: Convert to fraction form
    6,012.24/8,297.48 = 4,146/x
  3. Step 3: Cross multiply
    6,012.24x = 8,297.48 × 4,146
  4. Step 4: Simplify right side
    6,012.24x = 34,401,352.08
  5. Step 5: Solve for x
    x = 34,401,352.08/6,012.24
  6. Step 6: Final answer
    x = 5,721.89

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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.