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Finding the Fourth Proportional to 6,531.98, 9,804.88 and 4,068.53

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Solution

The fourth proportional to 6,531.98, 9,804.88 and 4,068.53 is: 6,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.98 : 9,804.88 = 4,068.53 : x
  2. Step 2: Convert to fraction form
    6,531.98/9,804.88 = 4,068.53/x
  3. Step 3: Cross multiply
    6,531.98x = 9,804.88 × 4,068.53
  4. Step 4: Simplify right side
    6,531.98x = 39,891,399.40
  5. Step 5: Solve for x
    x = 39,891,399.40/6,531.98
  6. Step 6: Final answer
    x = 6,107.10

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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.