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Finding the Fourth Proportional to 12,213.71, 18,323.76 and 5,193.98

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Solution

The fourth proportional to 12,213.71, 18,323.76 and 5,193.98 is: 7,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,213.71 : 18,323.76 = 5,193.98 : x
  2. Step 2: Convert to fraction form
    12,213.71/18,323.76 = 5,193.98/x
  3. Step 3: Cross multiply
    12,213.71x = 18,323.76 × 5,193.98
  4. Step 4: Simplify right side
    12,213.71x = 95,173,242.96
  5. Step 5: Solve for x
    x = 95,173,242.96/12,213.71
  6. Step 6: Final answer
    x = 7,792.33

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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.