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Finding the Fourth Proportional to 6,564.62, 9,844.05 and 2,403.55

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Solution

The fourth proportional to 6,564.62, 9,844.05 and 2,403.55 is: 3,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.62 : 9,844.05 = 2,403.55 : x
  2. Step 2: Convert to fraction form
    6,564.62/9,844.05 = 2,403.55/x
  3. Step 3: Cross multiply
    6,564.62x = 9,844.05 × 2,403.55
  4. Step 4: Simplify right side
    6,564.62x = 23,660,666.38
  5. Step 5: Solve for x
    x = 23,660,666.38/6,564.62
  6. Step 6: Final answer
    x = 3,604.27

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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.