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Finding the Fourth Proportional to 6,906.99, 9,512.37 and 6,462.30

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Solution

The fourth proportional to 6,906.99, 9,512.37 and 6,462.30 is: 8,899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.99 : 9,512.37 = 6,462.30 : x
  2. Step 2: Convert to fraction form
    6,906.99/9,512.37 = 6,462.30/x
  3. Step 3: Cross multiply
    6,906.99x = 9,512.37 × 6,462.30
  4. Step 4: Simplify right side
    6,906.99x = 61,471,788.65
  5. Step 5: Solve for x
    x = 61,471,788.65/6,906.99
  6. Step 6: Final answer
    x = 8,899.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.