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Finding the Fourth Proportional to 7,973.96, 11,005.38 and 6,645.56

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Solution

The fourth proportional to 7,973.96, 11,005.38 and 6,645.56 is: 9,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.96 : 11,005.38 = 6,645.56 : x
  2. Step 2: Convert to fraction form
    7,973.96/11,005.38 = 6,645.56/x
  3. Step 3: Cross multiply
    7,973.96x = 11,005.38 × 6,645.56
  4. Step 4: Simplify right side
    7,973.96x = 73,136,913.11
  5. Step 5: Solve for x
    x = 73,136,913.11/7,973.96
  6. Step 6: Final answer
    x = 9,171.97

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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.