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Finding the Fourth Proportional to 6,522.72, 9,774.88 and 5,055

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Solution

The fourth proportional to 6,522.72, 9,774.88 and 5,055 is: 7,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.72 : 9,774.88 = 5,055 : x
  2. Step 2: Convert to fraction form
    6,522.72/9,774.88 = 5,055/x
  3. Step 3: Cross multiply
    6,522.72x = 9,774.88 × 5,055
  4. Step 4: Simplify right side
    6,522.72x = 49,412,018.40
  5. Step 5: Solve for x
    x = 49,412,018.40/6,522.72
  6. Step 6: Final answer
    x = 7,575.37

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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.