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Finding the Fourth Proportional to 6,522.66, 9,784.26 and 1,592.46

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Solution

The fourth proportional to 6,522.66, 9,784.26 and 1,592.46 is: 2,388.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.66 : 9,784.26 = 1,592.46 : x
  2. Step 2: Convert to fraction form
    6,522.66/9,784.26 = 1,592.46/x
  3. Step 3: Cross multiply
    6,522.66x = 9,784.26 × 1,592.46
  4. Step 4: Simplify right side
    6,522.66x = 15,581,042.68
  5. Step 5: Solve for x
    x = 15,581,042.68/6,522.66
  6. Step 6: Final answer
    x = 2,388.76

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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.