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Finding the Fourth Proportional to 6,172.34, 9,211.05 and 5,516.24

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Solution

The fourth proportional to 6,172.34, 9,211.05 and 5,516.24 is: 8,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.34 : 9,211.05 = 5,516.24 : x
  2. Step 2: Convert to fraction form
    6,172.34/9,211.05 = 5,516.24/x
  3. Step 3: Cross multiply
    6,172.34x = 9,211.05 × 5,516.24
  4. Step 4: Simplify right side
    6,172.34x = 50,810,385.48
  5. Step 5: Solve for x
    x = 50,810,385.48/6,172.34
  6. Step 6: Final answer
    x = 8,231.95

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.