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Finding the Fourth Proportional to 6,995.92, 9,654.44 and 3,852.12

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Solution

The fourth proportional to 6,995.92, 9,654.44 and 3,852.12 is: 5,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.92 : 9,654.44 = 3,852.12 : x
  2. Step 2: Convert to fraction form
    6,995.92/9,654.44 = 3,852.12/x
  3. Step 3: Cross multiply
    6,995.92x = 9,654.44 × 3,852.12
  4. Step 4: Simplify right side
    6,995.92x = 37,190,061.41
  5. Step 5: Solve for x
    x = 37,190,061.41/6,995.92
  6. Step 6: Final answer
    x = 5,315.96

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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.