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Finding the Fourth Proportional to 6,684.01, 10,004.96 and 5,979.58

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Solution

The fourth proportional to 6,684.01, 10,004.96 and 5,979.58 is: 8,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.01 : 10,004.96 = 5,979.58 : x
  2. Step 2: Convert to fraction form
    6,684.01/10,004.96 = 5,979.58/x
  3. Step 3: Cross multiply
    6,684.01x = 10,004.96 × 5,979.58
  4. Step 4: Simplify right side
    6,684.01x = 59,825,476.25
  5. Step 5: Solve for x
    x = 59,825,476.25/6,684.01
  6. Step 6: Final answer
    x = 8,950.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.