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Finding the Fourth Proportional to 9,093.75, 13,616.87 and 6,158.31

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Solution

The fourth proportional to 9,093.75, 13,616.87 and 6,158.31 is: 9,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.75 : 13,616.87 = 6,158.31 : x
  2. Step 2: Convert to fraction form
    9,093.75/13,616.87 = 6,158.31/x
  3. Step 3: Cross multiply
    9,093.75x = 13,616.87 × 6,158.31
  4. Step 4: Simplify right side
    9,093.75x = 83,856,875.90
  5. Step 5: Solve for x
    x = 83,856,875.90/9,093.75
  6. Step 6: Final answer
    x = 9,221.37

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1.5x scale

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.