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Finding the Fourth Proportional to 6,142.74, 9,212.74 and 1,760.54

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Solution

The fourth proportional to 6,142.74, 9,212.74 and 1,760.54 is: 2,640.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.74 : 9,212.74 = 1,760.54 : x
  2. Step 2: Convert to fraction form
    6,142.74/9,212.74 = 1,760.54/x
  3. Step 3: Cross multiply
    6,142.74x = 9,212.74 × 1,760.54
  4. Step 4: Simplify right side
    6,142.74x = 16,219,346.81
  5. Step 5: Solve for x
    x = 16,219,346.81/6,142.74
  6. Step 6: Final answer
    x = 2,640.41

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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.