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Finding the Fourth Proportional to 6,968.53, 9,610.94 and 6,127.48

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Solution

The fourth proportional to 6,968.53, 9,610.94 and 6,127.48 is: 8,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.53 : 9,610.94 = 6,127.48 : x
  2. Step 2: Convert to fraction form
    6,968.53/9,610.94 = 6,127.48/x
  3. Step 3: Cross multiply
    6,968.53x = 9,610.94 × 6,127.48
  4. Step 4: Simplify right side
    6,968.53x = 58,890,763.94
  5. Step 5: Solve for x
    x = 58,890,763.94/6,968.53
  6. Step 6: Final answer
    x = 8,450.97

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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.