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Finding the Fourth Proportional to 20,506.14, 30,764.01 and 6,655.14

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Solution

The fourth proportional to 20,506.14, 30,764.01 and 6,655.14 is: 9,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.14 : 30,764.01 = 6,655.14 : x
  2. Step 2: Convert to fraction form
    20,506.14/30,764.01 = 6,655.14/x
  3. Step 3: Cross multiply
    20,506.14x = 30,764.01 × 6,655.14
  4. Step 4: Simplify right side
    20,506.14x = 204,738,793.51
  5. Step 5: Solve for x
    x = 204,738,793.51/20,506.14
  6. Step 6: Final answer
    x = 9,984.27

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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.