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Finding the Fourth Proportional to 4,660.74, 6,403.05 and 4,169.88

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Solution

The fourth proportional to 4,660.74, 6,403.05 and 4,169.88 is: 5,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.74 : 6,403.05 = 4,169.88 : x
  2. Step 2: Convert to fraction form
    4,660.74/6,403.05 = 4,169.88/x
  3. Step 3: Cross multiply
    4,660.74x = 6,403.05 × 4,169.88
  4. Step 4: Simplify right side
    4,660.74x = 26,699,950.13
  5. Step 5: Solve for x
    x = 26,699,950.13/4,660.74
  6. Step 6: Final answer
    x = 5,728.69

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.