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Finding the Fourth Proportional to 20,549.74, 30,824.74 and 6,698.74

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Solution

The fourth proportional to 20,549.74, 30,824.74 and 6,698.74 is: 10,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.74 : 30,824.74 = 6,698.74 : x
  2. Step 2: Convert to fraction form
    20,549.74/30,824.74 = 6,698.74/x
  3. Step 3: Cross multiply
    20,549.74x = 30,824.74 × 6,698.74
  4. Step 4: Simplify right side
    20,549.74x = 206,486,918.83
  5. Step 5: Solve for x
    x = 206,486,918.83/20,549.74
  6. Step 6: Final answer
    x = 10,048.15

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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.