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Finding the Fourth Proportional to 4,600.51, 6,899.63 and 2,132.96

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Solution

The fourth proportional to 4,600.51, 6,899.63 and 2,132.96 is: 3,198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.51 : 6,899.63 = 2,132.96 : x
  2. Step 2: Convert to fraction form
    4,600.51/6,899.63 = 2,132.96/x
  3. Step 3: Cross multiply
    4,600.51x = 6,899.63 × 2,132.96
  4. Step 4: Simplify right side
    4,600.51x = 14,716,589.64
  5. Step 5: Solve for x
    x = 14,716,589.64/4,600.51
  6. Step 6: Final answer
    x = 3,198.91

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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.