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Finding the Fourth Proportional to 20,537.41, 30,783.52 and 8,055.11

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Solution

The fourth proportional to 20,537.41, 30,783.52 and 8,055.11 is: 12,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.41 : 30,783.52 = 8,055.11 : x
  2. Step 2: Convert to fraction form
    20,537.41/30,783.52 = 8,055.11/x
  3. Step 3: Cross multiply
    20,537.41x = 30,783.52 × 8,055.11
  4. Step 4: Simplify right side
    20,537.41x = 247,964,445.59
  5. Step 5: Solve for x
    x = 247,964,445.59/20,537.41
  6. Step 6: Final answer
    x = 12,073.79

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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.