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Finding the Fourth Proportional to 4,616.08, 6,923.89 and 1,694.16

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Solution

The fourth proportional to 4,616.08, 6,923.89 and 1,694.16 is: 2,541.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.08 : 6,923.89 = 1,694.16 : x
  2. Step 2: Convert to fraction form
    4,616.08/6,923.89 = 1,694.16/x
  3. Step 3: Cross multiply
    4,616.08x = 6,923.89 × 1,694.16
  4. Step 4: Simplify right side
    4,616.08x = 11,730,173.25
  5. Step 5: Solve for x
    x = 11,730,173.25/4,616.08
  6. Step 6: Final answer
    x = 2,541.16

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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.