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Finding the Fourth Proportional to 8,350, 11,521.80 and 7,096.08

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Solution

The fourth proportional to 8,350, 11,521.80 and 7,096.08 is: 9,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350 : 11,521.80 = 7,096.08 : x
  2. Step 2: Convert to fraction form
    8,350/11,521.80 = 7,096.08/x
  3. Step 3: Cross multiply
    8,350x = 11,521.80 × 7,096.08
  4. Step 4: Simplify right side
    8,350x = 81,759,614.54
  5. Step 5: Solve for x
    x = 81,759,614.54/8,350
  6. Step 6: Final answer
    x = 9,791.57

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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.