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Finding the Fourth Proportional to 13,367.66, 18,452.23 and 7,778.66

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Solution

The fourth proportional to 13,367.66, 18,452.23 and 7,778.66 is: 10,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,367.66 : 18,452.23 = 7,778.66 : x
  2. Step 2: Convert to fraction form
    13,367.66/18,452.23 = 7,778.66/x
  3. Step 3: Cross multiply
    13,367.66x = 18,452.23 × 7,778.66
  4. Step 4: Simplify right side
    13,367.66x = 143,533,623.41
  5. Step 5: Solve for x
    x = 143,533,623.41/13,367.66
  6. Step 6: Final answer
    x = 10,737.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.