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Finding the Fourth Proportional to 6,622.25, 9,934.59 and 3,159.50

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Solution

The fourth proportional to 6,622.25, 9,934.59 and 3,159.50 is: 4,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.25 : 9,934.59 = 3,159.50 : x
  2. Step 2: Convert to fraction form
    6,622.25/9,934.59 = 3,159.50/x
  3. Step 3: Cross multiply
    6,622.25x = 9,934.59 × 3,159.50
  4. Step 4: Simplify right side
    6,622.25x = 31,388,337.11
  5. Step 5: Solve for x
    x = 31,388,337.11/6,622.25
  6. Step 6: Final answer
    x = 4,739.83

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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.