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Finding the Fourth Proportional to 6,563.61, 9,834.06 and 4,422.48

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Solution

The fourth proportional to 6,563.61, 9,834.06 and 4,422.48 is: 6,626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.61 : 9,834.06 = 4,422.48 : x
  2. Step 2: Convert to fraction form
    6,563.61/9,834.06 = 4,422.48/x
  3. Step 3: Cross multiply
    6,563.61x = 9,834.06 × 4,422.48
  4. Step 4: Simplify right side
    6,563.61x = 43,490,933.67
  5. Step 5: Solve for x
    x = 43,490,933.67/6,563.61
  6. Step 6: Final answer
    x = 6,626.07

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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.