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Finding the Fourth Proportional to 7,211.58, 9,951.38 and 4,227

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Solution

The fourth proportional to 7,211.58, 9,951.38 and 4,227 is: 5,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.58 : 9,951.38 = 4,227 : x
  2. Step 2: Convert to fraction form
    7,211.58/9,951.38 = 4,227/x
  3. Step 3: Cross multiply
    7,211.58x = 9,951.38 × 4,227
  4. Step 4: Simplify right side
    7,211.58x = 42,064,483.26
  5. Step 5: Solve for x
    x = 42,064,483.26/7,211.58
  6. Step 6: Final answer
    x = 5,832.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.