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Finding the Fourth Proportional to 4,616.76, 6,891.57 and 4,063.24

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Solution

The fourth proportional to 4,616.76, 6,891.57 and 4,063.24 is: 6,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.76 : 6,891.57 = 4,063.24 : x
  2. Step 2: Convert to fraction form
    4,616.76/6,891.57 = 4,063.24/x
  3. Step 3: Cross multiply
    4,616.76x = 6,891.57 × 4,063.24
  4. Step 4: Simplify right side
    4,616.76x = 28,002,102.89
  5. Step 5: Solve for x
    x = 28,002,102.89/4,616.76
  6. Step 6: Final answer
    x = 6,065.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.