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Finding the Fourth Proportional to 8,224.76, 12,337.74 and 2,381.40

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Solution

The fourth proportional to 8,224.76, 12,337.74 and 2,381.40 is: 3,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.76 : 12,337.74 = 2,381.40 : x
  2. Step 2: Convert to fraction form
    8,224.76/12,337.74 = 2,381.40/x
  3. Step 3: Cross multiply
    8,224.76x = 12,337.74 × 2,381.40
  4. Step 4: Simplify right side
    8,224.76x = 29,381,094.04
  5. Step 5: Solve for x
    x = 29,381,094.04/8,224.76
  6. Step 6: Final answer
    x = 3,572.27

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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.