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Finding the Fourth Proportional to 5,962.70, 8,222.86 and 4,346.14

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Solution

The fourth proportional to 5,962.70, 8,222.86 and 4,346.14 is: 5,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962.70 : 8,222.86 = 4,346.14 : x
  2. Step 2: Convert to fraction form
    5,962.70/8,222.86 = 4,346.14/x
  3. Step 3: Cross multiply
    5,962.70x = 8,222.86 × 4,346.14
  4. Step 4: Simplify right side
    5,962.70x = 35,737,700.76
  5. Step 5: Solve for x
    x = 35,737,700.76/5,962.70
  6. Step 6: Final answer
    x = 5,993.54

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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.