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Finding the Fourth Proportional to 6,990.54, 9,647.42 and 3,846.93

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Solution

The fourth proportional to 6,990.54, 9,647.42 and 3,846.93 is: 5,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.54 : 9,647.42 = 3,846.93 : x
  2. Step 2: Convert to fraction form
    6,990.54/9,647.42 = 3,846.93/x
  3. Step 3: Cross multiply
    6,990.54x = 9,647.42 × 3,846.93
  4. Step 4: Simplify right side
    6,990.54x = 37,112,930.19
  5. Step 5: Solve for x
    x = 37,112,930.19/6,990.54
  6. Step 6: Final answer
    x = 5,309.02

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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.