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Finding the Fourth Proportional to 7,774.25, 10,684.24 and 7,282.17

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Solution

The fourth proportional to 7,774.25, 10,684.24 and 7,282.17 is: 10,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.25 : 10,684.24 = 7,282.17 : x
  2. Step 2: Convert to fraction form
    7,774.25/10,684.24 = 7,282.17/x
  3. Step 3: Cross multiply
    7,774.25x = 10,684.24 × 7,282.17
  4. Step 4: Simplify right side
    7,774.25x = 77,804,433.80
  5. Step 5: Solve for x
    x = 77,804,433.80/7,774.25
  6. Step 6: Final answer
    x = 10,007.97

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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.