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Finding the Fourth Proportional to 6,996.32, 9,654.66 and 3,971.01

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Solution

The fourth proportional to 6,996.32, 9,654.66 and 3,971.01 is: 5,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.32 : 9,654.66 = 3,971.01 : x
  2. Step 2: Convert to fraction form
    6,996.32/9,654.66 = 3,971.01/x
  3. Step 3: Cross multiply
    6,996.32x = 9,654.66 × 3,971.01
  4. Step 4: Simplify right side
    6,996.32x = 38,338,751.41
  5. Step 5: Solve for x
    x = 38,338,751.41/6,996.32
  6. Step 6: Final answer
    x = 5,479.85

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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.