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Finding the Fourth Proportional to 7,792.75, 11,689.13 and 2,320.75

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Solution

The fourth proportional to 7,792.75, 11,689.13 and 2,320.75 is: 3,481.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.75 : 11,689.13 = 2,320.75 : x
  2. Step 2: Convert to fraction form
    7,792.75/11,689.13 = 2,320.75/x
  3. Step 3: Cross multiply
    7,792.75x = 11,689.13 × 2,320.75
  4. Step 4: Simplify right side
    7,792.75x = 27,127,548.45
  5. Step 5: Solve for x
    x = 27,127,548.45/7,792.75
  6. Step 6: Final answer
    x = 3,481.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.