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Finding the Fourth Proportional to 7,096.48, 9,793.12 and 4,112.46

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Solution

The fourth proportional to 7,096.48, 9,793.12 and 4,112.46 is: 5,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.48 : 9,793.12 = 4,112.46 : x
  2. Step 2: Convert to fraction form
    7,096.48/9,793.12 = 4,112.46/x
  3. Step 3: Cross multiply
    7,096.48x = 9,793.12 × 4,112.46
  4. Step 4: Simplify right side
    7,096.48x = 40,273,814.28
  5. Step 5: Solve for x
    x = 40,273,814.28/7,096.48
  6. Step 6: Final answer
    x = 5,675.18

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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.