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Finding the Fourth Proportional to 6,508.44, 9,762.68 and 3,048.12

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Solution

The fourth proportional to 6,508.44, 9,762.68 and 3,048.12 is: 4,572.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.44 : 9,762.68 = 3,048.12 : x
  2. Step 2: Convert to fraction form
    6,508.44/9,762.68 = 3,048.12/x
  3. Step 3: Cross multiply
    6,508.44x = 9,762.68 × 3,048.12
  4. Step 4: Simplify right side
    6,508.44x = 29,757,820.16
  5. Step 5: Solve for x
    x = 29,757,820.16/6,508.44
  6. Step 6: Final answer
    x = 4,572.19

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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.