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Finding the Fourth Proportional to 7,110.36, 9,769.59 and 6,655.32

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Solution

The fourth proportional to 7,110.36, 9,769.59 and 6,655.32 is: 9,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,110.36 : 9,769.59 = 6,655.32 : x
  2. Step 2: Convert to fraction form
    7,110.36/9,769.59 = 6,655.32/x
  3. Step 3: Cross multiply
    7,110.36x = 9,769.59 × 6,655.32
  4. Step 4: Simplify right side
    7,110.36x = 65,019,747.72
  5. Step 5: Solve for x
    x = 65,019,747.72/7,110.36
  6. Step 6: Final answer
    x = 9,144.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.