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Finding the Fourth Proportional to 6,522.41, 8,999.71 and 3,834.07

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Solution

The fourth proportional to 6,522.41, 8,999.71 and 3,834.07 is: 5,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.41 : 8,999.71 = 3,834.07 : x
  2. Step 2: Convert to fraction form
    6,522.41/8,999.71 = 3,834.07/x
  3. Step 3: Cross multiply
    6,522.41x = 8,999.71 × 3,834.07
  4. Step 4: Simplify right side
    6,522.41x = 34,505,518.12
  5. Step 5: Solve for x
    x = 34,505,518.12/6,522.41
  6. Step 6: Final answer
    x = 5,290.30

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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.