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Finding the Fourth Proportional to 7,092.54, 10,638.90 and 1,898.46

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Solution

The fourth proportional to 7,092.54, 10,638.90 and 1,898.46 is: 2,847.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.54 : 10,638.90 = 1,898.46 : x
  2. Step 2: Convert to fraction form
    7,092.54/10,638.90 = 1,898.46/x
  3. Step 3: Cross multiply
    7,092.54x = 10,638.90 × 1,898.46
  4. Step 4: Simplify right side
    7,092.54x = 20,197,526.09
  5. Step 5: Solve for x
    x = 20,197,526.09/7,092.54
  6. Step 6: Final answer
    x = 2,847.71

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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.