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Finding the Fourth Proportional to 20,596.70, 30,895.05 and 10,228.70

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Solution

The fourth proportional to 20,596.70, 30,895.05 and 10,228.70 is: 15,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,596.70 : 30,895.05 = 10,228.70 : x
  2. Step 2: Convert to fraction form
    20,596.70/30,895.05 = 10,228.70/x
  3. Step 3: Cross multiply
    20,596.70x = 30,895.05 × 10,228.70
  4. Step 4: Simplify right side
    20,596.70x = 316,016,197.94
  5. Step 5: Solve for x
    x = 316,016,197.94/20,596.70
  6. Step 6: Final answer
    x = 15,343.05

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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.