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Finding the Fourth Proportional to 6,360.18, 9,540.27 and 2,895

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Solution

The fourth proportional to 6,360.18, 9,540.27 and 2,895 is: 4,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360.18 : 9,540.27 = 2,895 : x
  2. Step 2: Convert to fraction form
    6,360.18/9,540.27 = 2,895/x
  3. Step 3: Cross multiply
    6,360.18x = 9,540.27 × 2,895
  4. Step 4: Simplify right side
    6,360.18x = 27,619,081.65
  5. Step 5: Solve for x
    x = 27,619,081.65/6,360.18
  6. Step 6: Final answer
    x = 4,342.50

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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.