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Finding the Fourth Proportional to 7,238.50, 10,840.03 and 6,537.31

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Solution

The fourth proportional to 7,238.50, 10,840.03 and 6,537.31 is: 9,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.50 : 10,840.03 = 6,537.31 : x
  2. Step 2: Convert to fraction form
    7,238.50/10,840.03 = 6,537.31/x
  3. Step 3: Cross multiply
    7,238.50x = 10,840.03 × 6,537.31
  4. Step 4: Simplify right side
    7,238.50x = 70,864,593.08
  5. Step 5: Solve for x
    x = 70,864,593.08/7,238.50
  6. Step 6: Final answer
    x = 9,789.96

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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.