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Finding the Fourth Proportional to 4,661.98, 6,991.10 and 2,063.10

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Solution

The fourth proportional to 4,661.98, 6,991.10 and 2,063.10 is: 3,093.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.98 : 6,991.10 = 2,063.10 : x
  2. Step 2: Convert to fraction form
    4,661.98/6,991.10 = 2,063.10/x
  3. Step 3: Cross multiply
    4,661.98x = 6,991.10 × 2,063.10
  4. Step 4: Simplify right side
    4,661.98x = 14,423,338.41
  5. Step 5: Solve for x
    x = 14,423,338.41/4,661.98
  6. Step 6: Final answer
    x = 3,093.82

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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.