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Finding the Fourth Proportional to 7,107.96, 9,809.16 and 3,964.20

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Solution

The fourth proportional to 7,107.96, 9,809.16 and 3,964.20 is: 5,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.96 : 9,809.16 = 3,964.20 : x
  2. Step 2: Convert to fraction form
    7,107.96/9,809.16 = 3,964.20/x
  3. Step 3: Cross multiply
    7,107.96x = 9,809.16 × 3,964.20
  4. Step 4: Simplify right side
    7,107.96x = 38,885,472.07
  5. Step 5: Solve for x
    x = 38,885,472.07/7,107.96
  6. Step 6: Final answer
    x = 5,470.69

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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.