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Finding the Fourth Proportional to 22,046.88, 33,075.78 and 6,464.50

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Solution

The fourth proportional to 22,046.88, 33,075.78 and 6,464.50 is: 9,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.88 : 33,075.78 = 6,464.50 : x
  2. Step 2: Convert to fraction form
    22,046.88/33,075.78 = 6,464.50/x
  3. Step 3: Cross multiply
    22,046.88x = 33,075.78 × 6,464.50
  4. Step 4: Simplify right side
    22,046.88x = 213,818,379.81
  5. Step 5: Solve for x
    x = 213,818,379.81/22,046.88
  6. Step 6: Final answer
    x = 9,698.35

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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.