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Finding the Fourth Proportional to 4,640.22, 6,958.89 and 1,561.50

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Solution

The fourth proportional to 4,640.22, 6,958.89 and 1,561.50 is: 2,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.22 : 6,958.89 = 1,561.50 : x
  2. Step 2: Convert to fraction form
    4,640.22/6,958.89 = 1,561.50/x
  3. Step 3: Cross multiply
    4,640.22x = 6,958.89 × 1,561.50
  4. Step 4: Simplify right side
    4,640.22x = 10,866,306.74
  5. Step 5: Solve for x
    x = 10,866,306.74/4,640.22
  6. Step 6: Final answer
    x = 2,341.77

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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.