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Finding the Fourth Proportional to 7,153.75, 10,735.49 and 2,536.75

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Solution

The fourth proportional to 7,153.75, 10,735.49 and 2,536.75 is: 3,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.75 : 10,735.49 = 2,536.75 : x
  2. Step 2: Convert to fraction form
    7,153.75/10,735.49 = 2,536.75/x
  3. Step 3: Cross multiply
    7,153.75x = 10,735.49 × 2,536.75
  4. Step 4: Simplify right side
    7,153.75x = 27,233,254.26
  5. Step 5: Solve for x
    x = 27,233,254.26/7,153.75
  6. Step 6: Final answer
    x = 3,806.85

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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.