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Finding the Fourth Proportional to 5,972.70, 8,959.86 and 1,812.24

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Solution

The fourth proportional to 5,972.70, 8,959.86 and 1,812.24 is: 2,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972.70 : 8,959.86 = 1,812.24 : x
  2. Step 2: Convert to fraction form
    5,972.70/8,959.86 = 1,812.24/x
  3. Step 3: Cross multiply
    5,972.70x = 8,959.86 × 1,812.24
  4. Step 4: Simplify right side
    5,972.70x = 16,237,416.69
  5. Step 5: Solve for x
    x = 16,237,416.69/5,972.70
  6. Step 6: Final answer
    x = 2,718.61

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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.