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Finding the Fourth Proportional to 6,977.26, 9,622 and 4,583.02

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Solution

The fourth proportional to 6,977.26, 9,622 and 4,583.02 is: 6,320.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.26 : 9,622 = 4,583.02 : x
  2. Step 2: Convert to fraction form
    6,977.26/9,622 = 4,583.02/x
  3. Step 3: Cross multiply
    6,977.26x = 9,622 × 4,583.02
  4. Step 4: Simplify right side
    6,977.26x = 44,097,818.44
  5. Step 5: Solve for x
    x = 44,097,818.44/6,977.26
  6. Step 6: Final answer
    x = 6,320.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.