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Finding the Fourth Proportional to 8,363.76, 11,542.16 and 4,586.88

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Solution

The fourth proportional to 8,363.76, 11,542.16 and 4,586.88 is: 6,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.76 : 11,542.16 = 4,586.88 : x
  2. Step 2: Convert to fraction form
    8,363.76/11,542.16 = 4,586.88/x
  3. Step 3: Cross multiply
    8,363.76x = 11,542.16 × 4,586.88
  4. Step 4: Simplify right side
    8,363.76x = 52,942,502.86
  5. Step 5: Solve for x
    x = 52,942,502.86/8,363.76
  6. Step 6: Final answer
    x = 6,329.99

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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.