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Finding the Fourth Proportional to 4,660.61, 6,991.23 and 1,738.91

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Solution

The fourth proportional to 4,660.61, 6,991.23 and 1,738.91 is: 2,608.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.61 : 6,991.23 = 1,738.91 : x
  2. Step 2: Convert to fraction form
    4,660.61/6,991.23 = 1,738.91/x
  3. Step 3: Cross multiply
    4,660.61x = 6,991.23 × 1,738.91
  4. Step 4: Simplify right side
    4,660.61x = 12,157,119.76
  5. Step 5: Solve for x
    x = 12,157,119.76/4,660.61
  6. Step 6: Final answer
    x = 2,608.48

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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.