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Finding the Fourth Proportional to 6,646.68, 9,172.07 and 3,662.44

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Solution

The fourth proportional to 6,646.68, 9,172.07 and 3,662.44 is: 5,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.68 : 9,172.07 = 3,662.44 : x
  2. Step 2: Convert to fraction form
    6,646.68/9,172.07 = 3,662.44/x
  3. Step 3: Cross multiply
    6,646.68x = 9,172.07 × 3,662.44
  4. Step 4: Simplify right side
    6,646.68x = 33,592,156.05
  5. Step 5: Solve for x
    x = 33,592,156.05/6,646.68
  6. Step 6: Final answer
    x = 5,053.98

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1.5x scale

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.