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Finding the Fourth Proportional to 6,250.64, 9,375.36 and 2,553

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Solution

The fourth proportional to 6,250.64, 9,375.36 and 2,553 is: 3,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250.64 : 9,375.36 = 2,553 : x
  2. Step 2: Convert to fraction form
    6,250.64/9,375.36 = 2,553/x
  3. Step 3: Cross multiply
    6,250.64x = 9,375.36 × 2,553
  4. Step 4: Simplify right side
    6,250.64x = 23,935,294.08
  5. Step 5: Solve for x
    x = 23,935,294.08/6,250.64
  6. Step 6: Final answer
    x = 3,829.25

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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.