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Finding the Fourth Proportional to 5,929.92, 8,896.10 and 1,770.17

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Solution

The fourth proportional to 5,929.92, 8,896.10 and 1,770.17 is: 2,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.92 : 8,896.10 = 1,770.17 : x
  2. Step 2: Convert to fraction form
    5,929.92/8,896.10 = 1,770.17/x
  3. Step 3: Cross multiply
    5,929.92x = 8,896.10 × 1,770.17
  4. Step 4: Simplify right side
    5,929.92x = 15,747,556.01
  5. Step 5: Solve for x
    x = 15,747,556.01/5,929.92
  6. Step 6: Final answer
    x = 2,655.61

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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.