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Finding the Fourth Proportional to 7,108.65, 9,809.25 and 3,965.04

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Solution

The fourth proportional to 7,108.65, 9,809.25 and 3,965.04 is: 5,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,108.65 : 9,809.25 = 3,965.04 : x
  2. Step 2: Convert to fraction form
    7,108.65/9,809.25 = 3,965.04/x
  3. Step 3: Cross multiply
    7,108.65x = 9,809.25 × 3,965.04
  4. Step 4: Simplify right side
    7,108.65x = 38,894,068.62
  5. Step 5: Solve for x
    x = 38,894,068.62/7,108.65
  6. Step 6: Final answer
    x = 5,471.37

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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.