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Finding the Fourth Proportional to 6,647.44, 9,968.64 and 2,264.08

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Solution

The fourth proportional to 6,647.44, 9,968.64 and 2,264.08 is: 3,395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.44 : 9,968.64 = 2,264.08 : x
  2. Step 2: Convert to fraction form
    6,647.44/9,968.64 = 2,264.08/x
  3. Step 3: Cross multiply
    6,647.44x = 9,968.64 × 2,264.08
  4. Step 4: Simplify right side
    6,647.44x = 22,569,798.45
  5. Step 5: Solve for x
    x = 22,569,798.45/6,647.44
  6. Step 6: Final answer
    x = 3,395.26

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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.