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Finding the Fourth Proportional to 4,616.16, 6,920.64 and 2,150.64

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Solution

The fourth proportional to 4,616.16, 6,920.64 and 2,150.64 is: 3,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.16 : 6,920.64 = 2,150.64 : x
  2. Step 2: Convert to fraction form
    4,616.16/6,920.64 = 2,150.64/x
  3. Step 3: Cross multiply
    4,616.16x = 6,920.64 × 2,150.64
  4. Step 4: Simplify right side
    4,616.16x = 14,883,805.21
  5. Step 5: Solve for x
    x = 14,883,805.21/4,616.16
  6. Step 6: Final answer
    x = 3,224.28

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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.