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Finding the Fourth Proportional to 8,522.25, 11,750.64 and 5,834.77

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Solution

The fourth proportional to 8,522.25, 11,750.64 and 5,834.77 is: 8,045.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.25 : 11,750.64 = 5,834.77 : x
  2. Step 2: Convert to fraction form
    8,522.25/11,750.64 = 5,834.77/x
  3. Step 3: Cross multiply
    8,522.25x = 11,750.64 × 5,834.77
  4. Step 4: Simplify right side
    8,522.25x = 68,562,230.50
  5. Step 5: Solve for x
    x = 68,562,230.50/8,522.25
  6. Step 6: Final answer
    x = 8,045.09

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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.