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Finding the Fourth Proportional to 8,098.38, 12,147.08 and 4,768.50

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Solution

The fourth proportional to 8,098.38, 12,147.08 and 4,768.50 is: 7,152.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.38 : 12,147.08 = 4,768.50 : x
  2. Step 2: Convert to fraction form
    8,098.38/12,147.08 = 4,768.50/x
  3. Step 3: Cross multiply
    8,098.38x = 12,147.08 × 4,768.50
  4. Step 4: Simplify right side
    8,098.38x = 57,923,350.98
  5. Step 5: Solve for x
    x = 57,923,350.98/8,098.38
  6. Step 6: Final answer
    x = 7,152.46

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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.