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Finding the Fourth Proportional to 6,646.53, 9,172.29 and 3,662.46

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Solution

The fourth proportional to 6,646.53, 9,172.29 and 3,662.46 is: 5,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.53 : 9,172.29 = 3,662.46 : x
  2. Step 2: Convert to fraction form
    6,646.53/9,172.29 = 3,662.46/x
  3. Step 3: Cross multiply
    6,646.53x = 9,172.29 × 3,662.46
  4. Step 4: Simplify right side
    6,646.53x = 33,593,145.23
  5. Step 5: Solve for x
    x = 33,593,145.23/6,646.53
  6. Step 6: Final answer
    x = 5,054.24

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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.