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Finding the Fourth Proportional to 6,522.69, 9,005.46 and 5,027.85

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Solution

The fourth proportional to 6,522.69, 9,005.46 and 5,027.85 is: 6,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.69 : 9,005.46 = 5,027.85 : x
  2. Step 2: Convert to fraction form
    6,522.69/9,005.46 = 5,027.85/x
  3. Step 3: Cross multiply
    6,522.69x = 9,005.46 × 5,027.85
  4. Step 4: Simplify right side
    6,522.69x = 45,278,102.06
  5. Step 5: Solve for x
    x = 45,278,102.06/6,522.69
  6. Step 6: Final answer
    x = 6,941.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.