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Finding the Fourth Proportional to 8,363.75, 11,542.34 and 5,005.93

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Solution

The fourth proportional to 8,363.75, 11,542.34 and 5,005.93 is: 6,908.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.75 : 11,542.34 = 5,005.93 : x
  2. Step 2: Convert to fraction form
    8,363.75/11,542.34 = 5,005.93/x
  3. Step 3: Cross multiply
    8,363.75x = 11,542.34 × 5,005.93
  4. Step 4: Simplify right side
    8,363.75x = 57,780,121.05
  5. Step 5: Solve for x
    x = 57,780,121.05/8,363.75
  6. Step 6: Final answer
    x = 6,908.40

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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.