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Finding the Fourth Proportional to 4,561.52, 6,843 and 1,965.20

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Solution

The fourth proportional to 4,561.52, 6,843 and 1,965.20 is: 2,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.52 : 6,843 = 1,965.20 : x
  2. Step 2: Convert to fraction form
    4,561.52/6,843 = 1,965.20/x
  3. Step 3: Cross multiply
    4,561.52x = 6,843 × 1,965.20
  4. Step 4: Simplify right side
    4,561.52x = 13,447,863.60
  5. Step 5: Solve for x
    x = 13,447,863.60/4,561.52
  6. Step 6: Final answer
    x = 2,948.11

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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.