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Finding the Fourth Proportional to 8,096.95, 11,224.75 and 7,653.48

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Solution

The fourth proportional to 8,096.95, 11,224.75 and 7,653.48 is: 10,609.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.95 : 11,224.75 = 7,653.48 : x
  2. Step 2: Convert to fraction form
    8,096.95/11,224.75 = 7,653.48/x
  3. Step 3: Cross multiply
    8,096.95x = 11,224.75 × 7,653.48
  4. Step 4: Simplify right side
    8,096.95x = 85,908,399.63
  5. Step 5: Solve for x
    x = 85,908,399.63/8,096.95
  6. Step 6: Final answer
    x = 10,609.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.