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Finding the Fourth Proportional to 6,526.62, 9,008 and 3,693.98

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Solution

The fourth proportional to 6,526.62, 9,008 and 3,693.98 is: 5,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.62 : 9,008 = 3,693.98 : x
  2. Step 2: Convert to fraction form
    6,526.62/9,008 = 3,693.98/x
  3. Step 3: Cross multiply
    6,526.62x = 9,008 × 3,693.98
  4. Step 4: Simplify right side
    6,526.62x = 33,275,371.84
  5. Step 5: Solve for x
    x = 33,275,371.84/6,526.62
  6. Step 6: Final answer
    x = 5,098.41

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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.