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Finding the Fourth Proportional to 6,993.05, 9,650.64 and 4,009.46

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Solution

The fourth proportional to 6,993.05, 9,650.64 and 4,009.46 is: 5,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.05 : 9,650.64 = 4,009.46 : x
  2. Step 2: Convert to fraction form
    6,993.05/9,650.64 = 4,009.46/x
  3. Step 3: Cross multiply
    6,993.05x = 9,650.64 × 4,009.46
  4. Step 4: Simplify right side
    6,993.05x = 38,693,806.80
  5. Step 5: Solve for x
    x = 38,693,806.80/6,993.05
  6. Step 6: Final answer
    x = 5,533.18

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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.