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Finding the Fourth Proportional to 6,646.16, 9,172.12 and 3,662

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Solution

The fourth proportional to 6,646.16, 9,172.12 and 3,662 is: 5,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.16 : 9,172.12 = 3,662 : x
  2. Step 2: Convert to fraction form
    6,646.16/9,172.12 = 3,662/x
  3. Step 3: Cross multiply
    6,646.16x = 9,172.12 × 3,662
  4. Step 4: Simplify right side
    6,646.16x = 33,588,303.44
  5. Step 5: Solve for x
    x = 33,588,303.44/6,646.16
  6. Step 6: Final answer
    x = 5,053.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.