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Finding the Fourth Proportional to 6,504.21, 9,751.89 and 2,553

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Solution

The fourth proportional to 6,504.21, 9,751.89 and 2,553 is: 3,827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.21 : 9,751.89 = 2,553 : x
  2. Step 2: Convert to fraction form
    6,504.21/9,751.89 = 2,553/x
  3. Step 3: Cross multiply
    6,504.21x = 9,751.89 × 2,553
  4. Step 4: Simplify right side
    6,504.21x = 24,896,575.17
  5. Step 5: Solve for x
    x = 24,896,575.17/6,504.21
  6. Step 6: Final answer
    x = 3,827.76

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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.