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Finding the Fourth Proportional to 20,548.63, 30,822.73 and 6,508.65

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Solution

The fourth proportional to 20,548.63, 30,822.73 and 6,508.65 is: 9,762.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,548.63 : 30,822.73 = 6,508.65 : x
  2. Step 2: Convert to fraction form
    20,548.63/30,822.73 = 6,508.65/x
  3. Step 3: Cross multiply
    20,548.63x = 30,822.73 × 6,508.65
  4. Step 4: Simplify right side
    20,548.63x = 200,614,383.39
  5. Step 5: Solve for x
    x = 200,614,383.39/20,548.63
  6. Step 6: Final answer
    x = 9,762.91

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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.