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Finding the Fourth Proportional to 5,930.22, 8,894.97 and 1,770.24

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Solution

The fourth proportional to 5,930.22, 8,894.97 and 1,770.24 is: 2,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930.22 : 8,894.97 = 1,770.24 : x
  2. Step 2: Convert to fraction form
    5,930.22/8,894.97 = 1,770.24/x
  3. Step 3: Cross multiply
    5,930.22x = 8,894.97 × 1,770.24
  4. Step 4: Simplify right side
    5,930.22x = 15,746,231.69
  5. Step 5: Solve for x
    x = 15,746,231.69/5,930.22
  6. Step 6: Final answer
    x = 2,655.25

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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.