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Finding the Fourth Proportional to 9,493.99, 13,102.84 and 6,976.96

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Solution

The fourth proportional to 9,493.99, 13,102.84 and 6,976.96 is: 9,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.99 : 13,102.84 = 6,976.96 : x
  2. Step 2: Convert to fraction form
    9,493.99/13,102.84 = 6,976.96/x
  3. Step 3: Cross multiply
    9,493.99x = 13,102.84 × 6,976.96
  4. Step 4: Simplify right side
    9,493.99x = 91,417,990.57
  5. Step 5: Solve for x
    x = 91,417,990.57/9,493.99
  6. Step 6: Final answer
    x = 9,629.04

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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.