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Finding the Fourth Proportional to 6,647.50, 9,969.86 and 2,262.58

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Solution

The fourth proportional to 6,647.50, 9,969.86 and 2,262.58 is: 3,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.50 : 9,969.86 = 2,262.58 : x
  2. Step 2: Convert to fraction form
    6,647.50/9,969.86 = 2,262.58/x
  3. Step 3: Cross multiply
    6,647.50x = 9,969.86 × 2,262.58
  4. Step 4: Simplify right side
    6,647.50x = 22,557,605.84
  5. Step 5: Solve for x
    x = 22,557,605.84/6,647.50
  6. Step 6: Final answer
    x = 3,393.40

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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.