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Finding the Fourth Proportional to 10,311.90, 14,229.84 and 5,835.84

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Solution

The fourth proportional to 10,311.90, 14,229.84 and 5,835.84 is: 8,053.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.90 : 14,229.84 = 5,835.84 : x
  2. Step 2: Convert to fraction form
    10,311.90/14,229.84 = 5,835.84/x
  3. Step 3: Cross multiply
    10,311.90x = 14,229.84 × 5,835.84
  4. Step 4: Simplify right side
    10,311.90x = 83,043,069.47
  5. Step 5: Solve for x
    x = 83,043,069.47/10,311.90
  6. Step 6: Final answer
    x = 8,053.13

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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.