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Finding the Fourth Proportional to 6,309.86, 9,466.61 and 2,611.40

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Solution

The fourth proportional to 6,309.86, 9,466.61 and 2,611.40 is: 3,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.86 : 9,466.61 = 2,611.40 : x
  2. Step 2: Convert to fraction form
    6,309.86/9,466.61 = 2,611.40/x
  3. Step 3: Cross multiply
    6,309.86x = 9,466.61 × 2,611.40
  4. Step 4: Simplify right side
    6,309.86x = 24,721,044.96
  5. Step 5: Solve for x
    x = 24,721,044.96/6,309.86
  6. Step 6: Final answer
    x = 3,917.85

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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.