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Finding the Fourth Proportional to 12,900, 19,350.24 and 3,666.24

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Solution

The fourth proportional to 12,900, 19,350.24 and 3,666.24 is: 5,499.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900 : 19,350.24 = 3,666.24 : x
  2. Step 2: Convert to fraction form
    12,900/19,350.24 = 3,666.24/x
  3. Step 3: Cross multiply
    12,900x = 19,350.24 × 3,666.24
  4. Step 4: Simplify right side
    12,900x = 70,942,623.90
  5. Step 5: Solve for x
    x = 70,942,623.90/12,900
  6. Step 6: Final answer
    x = 5,499.43

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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.