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Finding the Fourth Proportional to 6,205.44, 9,311.16 and 3,085.76

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Solution

The fourth proportional to 6,205.44, 9,311.16 and 3,085.76 is: 4,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.44 : 9,311.16 = 3,085.76 : x
  2. Step 2: Convert to fraction form
    6,205.44/9,311.16 = 3,085.76/x
  3. Step 3: Cross multiply
    6,205.44x = 9,311.16 × 3,085.76
  4. Step 4: Simplify right side
    6,205.44x = 28,732,005.08
  5. Step 5: Solve for x
    x = 28,732,005.08/6,205.44
  6. Step 6: Final answer
    x = 4,630.13

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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.