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Finding the Fourth Proportional to 13,403.70, 20,105.55 and 6,491.70

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Solution

The fourth proportional to 13,403.70, 20,105.55 and 6,491.70 is: 9,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.70 : 20,105.55 = 6,491.70 : x
  2. Step 2: Convert to fraction form
    13,403.70/20,105.55 = 6,491.70/x
  3. Step 3: Cross multiply
    13,403.70x = 20,105.55 × 6,491.70
  4. Step 4: Simplify right side
    13,403.70x = 130,519,198.94
  5. Step 5: Solve for x
    x = 130,519,198.94/13,403.70
  6. Step 6: Final answer
    x = 9,737.55

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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.