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Finding the Fourth Proportional to 9,792.32, 13,520.42 and 6,020.54

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Solution

The fourth proportional to 9,792.32, 13,520.42 and 6,020.54 is: 8,312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.32 : 13,520.42 = 6,020.54 : x
  2. Step 2: Convert to fraction form
    9,792.32/13,520.42 = 6,020.54/x
  3. Step 3: Cross multiply
    9,792.32x = 13,520.42 × 6,020.54
  4. Step 4: Simplify right side
    9,792.32x = 81,400,229.43
  5. Step 5: Solve for x
    x = 81,400,229.43/9,792.32
  6. Step 6: Final answer
    x = 8,312.66

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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.