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Finding the Fourth Proportional to 6,998.63, 9,659.43 and 4,016.41

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Solution

The fourth proportional to 6,998.63, 9,659.43 and 4,016.41 is: 5,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.63 : 9,659.43 = 4,016.41 : x
  2. Step 2: Convert to fraction form
    6,998.63/9,659.43 = 4,016.41/x
  3. Step 3: Cross multiply
    6,998.63x = 9,659.43 × 4,016.41
  4. Step 4: Simplify right side
    6,998.63x = 38,796,231.25
  5. Step 5: Solve for x
    x = 38,796,231.25/6,998.63
  6. Step 6: Final answer
    x = 5,543.40

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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.