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Finding the Fourth Proportional to 6,996.43, 9,655.23 and 3,852.64

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Solution

The fourth proportional to 6,996.43, 9,655.23 and 3,852.64 is: 5,316.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.43 : 9,655.23 = 3,852.64 : x
  2. Step 2: Convert to fraction form
    6,996.43/9,655.23 = 3,852.64/x
  3. Step 3: Cross multiply
    6,996.43x = 9,655.23 × 3,852.64
  4. Step 4: Simplify right side
    6,996.43x = 37,198,125.31
  5. Step 5: Solve for x
    x = 37,198,125.31/6,996.43
  6. Step 6: Final answer
    x = 5,316.73

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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.