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Finding the Fourth Proportional to 5,970.12, 8,942.86 and 3,497.43

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Solution

The fourth proportional to 5,970.12, 8,942.86 and 3,497.43 is: 5,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.12 : 8,942.86 = 3,497.43 : x
  2. Step 2: Convert to fraction form
    5,970.12/8,942.86 = 3,497.43/x
  3. Step 3: Cross multiply
    5,970.12x = 8,942.86 × 3,497.43
  4. Step 4: Simplify right side
    5,970.12x = 31,277,064.76
  5. Step 5: Solve for x
    x = 31,277,064.76/5,970.12
  6. Step 6: Final answer
    x = 5,238.94

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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.