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Finding the Fourth Proportional to 10,766.94, 16,153.65 and 5,223.30

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Solution

The fourth proportional to 10,766.94, 16,153.65 and 5,223.30 is: 7,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.94 : 16,153.65 = 5,223.30 : x
  2. Step 2: Convert to fraction form
    10,766.94/16,153.65 = 5,223.30/x
  3. Step 3: Cross multiply
    10,766.94x = 16,153.65 × 5,223.30
  4. Step 4: Simplify right side
    10,766.94x = 84,375,360.05
  5. Step 5: Solve for x
    x = 84,375,360.05/10,766.94
  6. Step 6: Final answer
    x = 7,836.52

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1.5x scale

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.