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Finding the Fourth Proportional to 6,109.61, 9,163.13 and 1,725.89

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Solution

The fourth proportional to 6,109.61, 9,163.13 and 1,725.89 is: 2,588.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.61 : 9,163.13 = 1,725.89 : x
  2. Step 2: Convert to fraction form
    6,109.61/9,163.13 = 1,725.89/x
  3. Step 3: Cross multiply
    6,109.61x = 9,163.13 × 1,725.89
  4. Step 4: Simplify right side
    6,109.61x = 15,814,499.99
  5. Step 5: Solve for x
    x = 15,814,499.99/6,109.61
  6. Step 6: Final answer
    x = 2,588.47

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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.