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Finding the Fourth Proportional to 4,959.14, 6,826.44 and 4,286.64

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Solution

The fourth proportional to 4,959.14, 6,826.44 and 4,286.64 is: 5,900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.14 : 6,826.44 = 4,286.64 : x
  2. Step 2: Convert to fraction form
    4,959.14/6,826.44 = 4,286.64/x
  3. Step 3: Cross multiply
    4,959.14x = 6,826.44 × 4,286.64
  4. Step 4: Simplify right side
    4,959.14x = 29,262,490.76
  5. Step 5: Solve for x
    x = 29,262,490.76/4,959.14
  6. Step 6: Final answer
    x = 5,900.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.