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Finding the Fourth Proportional to 6,538.69, 9,799.35 and 3,421.36

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Solution

The fourth proportional to 6,538.69, 9,799.35 and 3,421.36 is: 5,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.69 : 9,799.35 = 3,421.36 : x
  2. Step 2: Convert to fraction form
    6,538.69/9,799.35 = 3,421.36/x
  3. Step 3: Cross multiply
    6,538.69x = 9,799.35 × 3,421.36
  4. Step 4: Simplify right side
    6,538.69x = 33,527,104.12
  5. Step 5: Solve for x
    x = 33,527,104.12/6,538.69
  6. Step 6: Final answer
    x = 5,127.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.