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Finding the Fourth Proportional to 6,991.00, 9,647.81 and 4,007.40

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Solution

The fourth proportional to 6,991.00, 9,647.81 and 4,007.40 is: 5,530.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.00 : 9,647.81 = 4,007.40 : x
  2. Step 2: Convert to fraction form
    6,991.00/9,647.81 = 4,007.40/x
  3. Step 3: Cross multiply
    6,991.00x = 9,647.81 × 4,007.40
  4. Step 4: Simplify right side
    6,991.00x = 38,662,577.58
  5. Step 5: Solve for x
    x = 38,662,577.58/6,991.00
  6. Step 6: Final answer
    x = 5,530.34

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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.