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Finding the Fourth Proportional to 12,274.74, 18,401.49 and 5,697.54

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Solution

The fourth proportional to 12,274.74, 18,401.49 and 5,697.54 is: 8,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274.74 : 18,401.49 = 5,697.54 : x
  2. Step 2: Convert to fraction form
    12,274.74/18,401.49 = 5,697.54/x
  3. Step 3: Cross multiply
    12,274.74x = 18,401.49 × 5,697.54
  4. Step 4: Simplify right side
    12,274.74x = 104,843,225.33
  5. Step 5: Solve for x
    x = 104,843,225.33/12,274.74
  6. Step 6: Final answer
    x = 8,541.38

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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.