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Finding the Fourth Proportional to 6,166.56, 9,251.28 and 4,219.68

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Solution

The fourth proportional to 6,166.56, 9,251.28 and 4,219.68 is: 6,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.56 : 9,251.28 = 4,219.68 : x
  2. Step 2: Convert to fraction form
    6,166.56/9,251.28 = 4,219.68/x
  3. Step 3: Cross multiply
    6,166.56x = 9,251.28 × 4,219.68
  4. Step 4: Simplify right side
    6,166.56x = 39,037,441.19
  5. Step 5: Solve for x
    x = 39,037,441.19/6,166.56
  6. Step 6: Final answer
    x = 6,330.51

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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.