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Finding the Fourth Proportional to 9,531, 14,297.50 and 2,605.50

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Solution

The fourth proportional to 9,531, 14,297.50 and 2,605.50 is: 3,908.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531 : 14,297.50 = 2,605.50 : x
  2. Step 2: Convert to fraction form
    9,531/14,297.50 = 2,605.50/x
  3. Step 3: Cross multiply
    9,531x = 14,297.50 × 2,605.50
  4. Step 4: Simplify right side
    9,531x = 37,252,136.25
  5. Step 5: Solve for x
    x = 37,252,136.25/9,531
  6. Step 6: Final answer
    x = 3,908.52

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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.