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Finding the Fourth Proportional to 6,998.19, 9,657.21 and 4,011.96

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Solution

The fourth proportional to 6,998.19, 9,657.21 and 4,011.96 is: 5,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.19 : 9,657.21 = 4,011.96 : x
  2. Step 2: Convert to fraction form
    6,998.19/9,657.21 = 4,011.96/x
  3. Step 3: Cross multiply
    6,998.19x = 9,657.21 × 4,011.96
  4. Step 4: Simplify right side
    6,998.19x = 38,744,340.23
  5. Step 5: Solve for x
    x = 38,744,340.23/6,998.19
  6. Step 6: Final answer
    x = 5,536.34

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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.