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Finding the Fourth Proportional to 6,655.12, 9,964.82 and 3,725.08

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Solution

The fourth proportional to 6,655.12, 9,964.82 and 3,725.08 is: 5,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.12 : 9,964.82 = 3,725.08 : x
  2. Step 2: Convert to fraction form
    6,655.12/9,964.82 = 3,725.08/x
  3. Step 3: Cross multiply
    6,655.12x = 9,964.82 × 3,725.08
  4. Step 4: Simplify right side
    6,655.12x = 37,119,751.69
  5. Step 5: Solve for x
    x = 37,119,751.69/6,655.12
  6. Step 6: Final answer
    x = 5,577.62

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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.