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Finding the Fourth Proportional to 4,731.66, 6,514.83 and 4,022.10

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Solution

The fourth proportional to 4,731.66, 6,514.83 and 4,022.10 is: 5,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.66 : 6,514.83 = 4,022.10 : x
  2. Step 2: Convert to fraction form
    4,731.66/6,514.83 = 4,022.10/x
  3. Step 3: Cross multiply
    4,731.66x = 6,514.83 × 4,022.10
  4. Step 4: Simplify right side
    4,731.66x = 26,203,297.74
  5. Step 5: Solve for x
    x = 26,203,297.74/4,731.66
  6. Step 6: Final answer
    x = 5,537.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.