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Finding the Fourth Proportional to 9,792.40, 14,672.40 and 8,334.40

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Solution

The fourth proportional to 9,792.40, 14,672.40 and 8,334.40 is: 12,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.40 : 14,672.40 = 8,334.40 : x
  2. Step 2: Convert to fraction form
    9,792.40/14,672.40 = 8,334.40/x
  3. Step 3: Cross multiply
    9,792.40x = 14,672.40 × 8,334.40
  4. Step 4: Simplify right side
    9,792.40x = 122,285,650.56
  5. Step 5: Solve for x
    x = 122,285,650.56/9,792.40
  6. Step 6: Final answer
    x = 12,487.81

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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.