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Finding the Fourth Proportional to 9,809.52, 14,710.60 and 3,568

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Solution

The fourth proportional to 9,809.52, 14,710.60 and 3,568 is: 5,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.52 : 14,710.60 = 3,568 : x
  2. Step 2: Convert to fraction form
    9,809.52/14,710.60 = 3,568/x
  3. Step 3: Cross multiply
    9,809.52x = 14,710.60 × 3,568
  4. Step 4: Simplify right side
    9,809.52x = 52,487,420.80
  5. Step 5: Solve for x
    x = 52,487,420.80/9,809.52
  6. Step 6: Final answer
    x = 5,350.66

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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.