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Finding the Fourth Proportional to 7,096.69, 9,781.18 and 5,325.22

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Solution

The fourth proportional to 7,096.69, 9,781.18 and 5,325.22 is: 7,339.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.69 : 9,781.18 = 5,325.22 : x
  2. Step 2: Convert to fraction form
    7,096.69/9,781.18 = 5,325.22/x
  3. Step 3: Cross multiply
    7,096.69x = 9,781.18 × 5,325.22
  4. Step 4: Simplify right side
    7,096.69x = 52,086,935.36
  5. Step 5: Solve for x
    x = 52,086,935.36/7,096.69
  6. Step 6: Final answer
    x = 7,339.61

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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.