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Finding the Fourth Proportional to 9,376.80, 12,940.08 and 5,185.20

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Solution

The fourth proportional to 9,376.80, 12,940.08 and 5,185.20 is: 7,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.80 : 12,940.08 = 5,185.20 : x
  2. Step 2: Convert to fraction form
    9,376.80/12,940.08 = 5,185.20/x
  3. Step 3: Cross multiply
    9,376.80x = 12,940.08 × 5,185.20
  4. Step 4: Simplify right side
    9,376.80x = 67,096,902.82
  5. Step 5: Solve for x
    x = 67,096,902.82/9,376.80
  6. Step 6: Final answer
    x = 7,155.63

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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.