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Finding the Fourth Proportional to 6,265.56, 9,399.12 and 2,048.72

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Solution

The fourth proportional to 6,265.56, 9,399.12 and 2,048.72 is: 3,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.56 : 9,399.12 = 2,048.72 : x
  2. Step 2: Convert to fraction form
    6,265.56/9,399.12 = 2,048.72/x
  3. Step 3: Cross multiply
    6,265.56x = 9,399.12 × 2,048.72
  4. Step 4: Simplify right side
    6,265.56x = 19,256,118.13
  5. Step 5: Solve for x
    x = 19,256,118.13/6,265.56
  6. Step 6: Final answer
    x = 3,073.33

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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.