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Finding the Fourth Proportional to 7,096.76, 9,722.61 and 6,830.73

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Solution

The fourth proportional to 7,096.76, 9,722.61 and 6,830.73 is: 9,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.76 : 9,722.61 = 6,830.73 : x
  2. Step 2: Convert to fraction form
    7,096.76/9,722.61 = 6,830.73/x
  3. Step 3: Cross multiply
    7,096.76x = 9,722.61 × 6,830.73
  4. Step 4: Simplify right side
    7,096.76x = 66,412,461.73
  5. Step 5: Solve for x
    x = 66,412,461.73/7,096.76
  6. Step 6: Final answer
    x = 9,358.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.