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Finding the Fourth Proportional to 6,523.71, 9,785.69 and 1,593.39

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Solution

The fourth proportional to 6,523.71, 9,785.69 and 1,593.39 is: 2,390.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.71 : 9,785.69 = 1,593.39 : x
  2. Step 2: Convert to fraction form
    6,523.71/9,785.69 = 1,593.39/x
  3. Step 3: Cross multiply
    6,523.71x = 9,785.69 × 1,593.39
  4. Step 4: Simplify right side
    6,523.71x = 15,592,412.62
  5. Step 5: Solve for x
    x = 15,592,412.62/6,523.71
  6. Step 6: Final answer
    x = 2,390.11

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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.