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Finding the Fourth Proportional to 4,976.92, 7,464.66 and 1,690.12

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Solution

The fourth proportional to 4,976.92, 7,464.66 and 1,690.12 is: 2,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.92 : 7,464.66 = 1,690.12 : x
  2. Step 2: Convert to fraction form
    4,976.92/7,464.66 = 1,690.12/x
  3. Step 3: Cross multiply
    4,976.92x = 7,464.66 × 1,690.12
  4. Step 4: Simplify right side
    4,976.92x = 12,616,171.16
  5. Step 5: Solve for x
    x = 12,616,171.16/4,976.92
  6. Step 6: Final answer
    x = 2,534.94

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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.