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Finding the Fourth Proportional to 20,202.84, 30,304.48 and 7,055.24

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Solution

The fourth proportional to 20,202.84, 30,304.48 and 7,055.24 is: 10,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.84 : 30,304.48 = 7,055.24 : x
  2. Step 2: Convert to fraction form
    20,202.84/30,304.48 = 7,055.24/x
  3. Step 3: Cross multiply
    20,202.84x = 30,304.48 × 7,055.24
  4. Step 4: Simplify right side
    20,202.84x = 213,805,379.48
  5. Step 5: Solve for x
    x = 213,805,379.48/20,202.84
  6. Step 6: Final answer
    x = 10,582.94

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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.