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Finding the Fourth Proportional to 6,159.72, 9,233.82 and 2,263.08

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Solution

The fourth proportional to 6,159.72, 9,233.82 and 2,263.08 is: 3,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.72 : 9,233.82 = 2,263.08 : x
  2. Step 2: Convert to fraction form
    6,159.72/9,233.82 = 2,263.08/x
  3. Step 3: Cross multiply
    6,159.72x = 9,233.82 × 2,263.08
  4. Step 4: Simplify right side
    6,159.72x = 20,896,873.37
  5. Step 5: Solve for x
    x = 20,896,873.37/6,159.72
  6. Step 6: Final answer
    x = 3,392.50

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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.