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Finding the Fourth Proportional to 4,561.72, 6,843.04 and 1,641.16

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Solution

The fourth proportional to 4,561.72, 6,843.04 and 1,641.16 is: 2,461.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.72 : 6,843.04 = 1,641.16 : x
  2. Step 2: Convert to fraction form
    4,561.72/6,843.04 = 1,641.16/x
  3. Step 3: Cross multiply
    4,561.72x = 6,843.04 × 1,641.16
  4. Step 4: Simplify right side
    4,561.72x = 11,230,523.53
  5. Step 5: Solve for x
    x = 11,230,523.53/4,561.72
  6. Step 6: Final answer
    x = 2,461.91

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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.