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Finding the Fourth Proportional to 4,297.70, 6,446.55 and 2,110.70

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Solution

The fourth proportional to 4,297.70, 6,446.55 and 2,110.70 is: 3,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.70 : 6,446.55 = 2,110.70 : x
  2. Step 2: Convert to fraction form
    4,297.70/6,446.55 = 2,110.70/x
  3. Step 3: Cross multiply
    4,297.70x = 6,446.55 × 2,110.70
  4. Step 4: Simplify right side
    4,297.70x = 13,606,733.09
  5. Step 5: Solve for x
    x = 13,606,733.09/4,297.70
  6. Step 6: Final answer
    x = 3,166.05

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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.