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Finding the Fourth Proportional to 6,528.38, 9,009.14 and 3,695.69

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Solution

The fourth proportional to 6,528.38, 9,009.14 and 3,695.69 is: 5,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.38 : 9,009.14 = 3,695.69 : x
  2. Step 2: Convert to fraction form
    6,528.38/9,009.14 = 3,695.69/x
  3. Step 3: Cross multiply
    6,528.38x = 9,009.14 × 3,695.69
  4. Step 4: Simplify right side
    6,528.38x = 33,294,992.65
  5. Step 5: Solve for x
    x = 33,294,992.65/6,528.38
  6. Step 6: Final answer
    x = 5,100.04

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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.