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Finding the Fourth Proportional to 6,526.38, 9,005.64 and 3,693.54

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Solution

The fourth proportional to 6,526.38, 9,005.64 and 3,693.54 is: 5,096.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.38 : 9,005.64 = 3,693.54 : x
  2. Step 2: Convert to fraction form
    6,526.38/9,005.64 = 3,693.54/x
  3. Step 3: Cross multiply
    6,526.38x = 9,005.64 × 3,693.54
  4. Step 4: Simplify right side
    6,526.38x = 33,262,691.57
  5. Step 5: Solve for x
    x = 33,262,691.57/6,526.38
  6. Step 6: Final answer
    x = 5,096.65

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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.