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Finding the Fourth Proportional to 8,502.95, 11,735.12 and 5,146.94

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Solution

The fourth proportional to 8,502.95, 11,735.12 and 5,146.94 is: 7,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.95 : 11,735.12 = 5,146.94 : x
  2. Step 2: Convert to fraction form
    8,502.95/11,735.12 = 5,146.94/x
  3. Step 3: Cross multiply
    8,502.95x = 11,735.12 × 5,146.94
  4. Step 4: Simplify right side
    8,502.95x = 60,399,874.12
  5. Step 5: Solve for x
    x = 60,399,874.12/8,502.95
  6. Step 6: Final answer
    x = 7,103.41

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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.