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Finding the Fourth Proportional to 7,163.84, 10,746.28 and 2,999.66

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Solution

The fourth proportional to 7,163.84, 10,746.28 and 2,999.66 is: 4,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.84 : 10,746.28 = 2,999.66 : x
  2. Step 2: Convert to fraction form
    7,163.84/10,746.28 = 2,999.66/x
  3. Step 3: Cross multiply
    7,163.84x = 10,746.28 × 2,999.66
  4. Step 4: Simplify right side
    7,163.84x = 32,235,186.26
  5. Step 5: Solve for x
    x = 32,235,186.26/7,163.84
  6. Step 6: Final answer
    x = 4,499.71

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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.