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Finding the Fourth Proportional to 6,544.60, 9,821.00 and 2,649.00

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Solution

The fourth proportional to 6,544.60, 9,821.00 and 2,649.00 is: 3,975.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.60 : 9,821.00 = 2,649.00 : x
  2. Step 2: Convert to fraction form
    6,544.60/9,821.00 = 2,649.00/x
  3. Step 3: Cross multiply
    6,544.60x = 9,821.00 × 2,649.00
  4. Step 4: Simplify right side
    6,544.60x = 26,015,857.55
  5. Step 5: Solve for x
    x = 26,015,857.55/6,544.60
  6. Step 6: Final answer
    x = 3,975.17

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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.