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Finding the Fourth Proportional to 6,098.70, 9,144.98 and 2,978.94

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Solution

The fourth proportional to 6,098.70, 9,144.98 and 2,978.94 is: 4,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.70 : 9,144.98 = 2,978.94 : x
  2. Step 2: Convert to fraction form
    6,098.70/9,144.98 = 2,978.94/x
  3. Step 3: Cross multiply
    6,098.70x = 9,144.98 × 2,978.94
  4. Step 4: Simplify right side
    6,098.70x = 27,242,346.72
  5. Step 5: Solve for x
    x = 27,242,346.72/6,098.70
  6. Step 6: Final answer
    x = 4,466.91

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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.