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Finding the Fourth Proportional to 20,202, 30,304.73 and 6,165.19

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Solution

The fourth proportional to 20,202, 30,304.73 and 6,165.19 is: 9,248.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202 : 30,304.73 = 6,165.19 : x
  2. Step 2: Convert to fraction form
    20,202/30,304.73 = 6,165.19/x
  3. Step 3: Cross multiply
    20,202x = 30,304.73 × 6,165.19
  4. Step 4: Simplify right side
    20,202x = 186,834,236.00
  5. Step 5: Solve for x
    x = 186,834,236.00/20,202
  6. Step 6: Final answer
    x = 9,248.30

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1.5x scale

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.