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Finding the Fourth Proportional to 11,551.72, 17,317.98 and 6,625

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Solution

The fourth proportional to 11,551.72, 17,317.98 and 6,625 is: 9,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.72 : 17,317.98 = 6,625 : x
  2. Step 2: Convert to fraction form
    11,551.72/17,317.98 = 6,625/x
  3. Step 3: Cross multiply
    11,551.72x = 17,317.98 × 6,625
  4. Step 4: Simplify right side
    11,551.72x = 114,731,617.50
  5. Step 5: Solve for x
    x = 114,731,617.50/11,551.72
  6. Step 6: Final answer
    x = 9,931.99

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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.