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Finding the Fourth Proportional to 7,201.91, 10,786.08 and 6,952.48

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Solution

The fourth proportional to 7,201.91, 10,786.08 and 6,952.48 is: 10,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.91 : 10,786.08 = 6,952.48 : x
  2. Step 2: Convert to fraction form
    7,201.91/10,786.08 = 6,952.48/x
  3. Step 3: Cross multiply
    7,201.91x = 10,786.08 × 6,952.48
  4. Step 4: Simplify right side
    7,201.91x = 74,990,004.58
  5. Step 5: Solve for x
    x = 74,990,004.58/7,201.91
  6. Step 6: Final answer
    x = 10,412.51

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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.