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Finding the Fourth Proportional to 20,496.88, 30,746.04 and 6,646

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Solution

The fourth proportional to 20,496.88, 30,746.04 and 6,646 is: 9,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.88 : 30,746.04 = 6,646 : x
  2. Step 2: Convert to fraction form
    20,496.88/30,746.04 = 6,646/x
  3. Step 3: Cross multiply
    20,496.88x = 30,746.04 × 6,646
  4. Step 4: Simplify right side
    20,496.88x = 204,338,181.84
  5. Step 5: Solve for x
    x = 204,338,181.84/20,496.88
  6. Step 6: Final answer
    x = 9,969.23

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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.