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Finding the Fourth Proportional to 20,645.76, 30,973.12 and 6,794.24

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Solution

The fourth proportional to 20,645.76, 30,973.12 and 6,794.24 is: 10,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,645.76 : 30,973.12 = 6,794.24 : x
  2. Step 2: Convert to fraction form
    20,645.76/30,973.12 = 6,794.24/x
  3. Step 3: Cross multiply
    20,645.76x = 30,973.12 × 6,794.24
  4. Step 4: Simplify right side
    20,645.76x = 210,438,810.83
  5. Step 5: Solve for x
    x = 210,438,810.83/20,645.76
  6. Step 6: Final answer
    x = 10,192.83

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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.