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Finding the Fourth Proportional to 6,660, 9,189.86 and 3,675.69

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Solution

The fourth proportional to 6,660, 9,189.86 and 3,675.69 is: 5,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660 : 9,189.86 = 3,675.69 : x
  2. Step 2: Convert to fraction form
    6,660/9,189.86 = 3,675.69/x
  3. Step 3: Cross multiply
    6,660x = 9,189.86 × 3,675.69
  4. Step 4: Simplify right side
    6,660x = 33,779,058.12
  5. Step 5: Solve for x
    x = 33,779,058.12/6,660
  6. Step 6: Final answer
    x = 5,071.93

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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.