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Finding the Fourth Proportional to 10,367, 14,310.90 and 7,014.44

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Solution

The fourth proportional to 10,367, 14,310.90 and 7,014.44 is: 9,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367 : 14,310.90 = 7,014.44 : x
  2. Step 2: Convert to fraction form
    10,367/14,310.90 = 7,014.44/x
  3. Step 3: Cross multiply
    10,367x = 14,310.90 × 7,014.44
  4. Step 4: Simplify right side
    10,367x = 100,382,949.40
  5. Step 5: Solve for x
    x = 100,382,949.40/10,367
  6. Step 6: Final answer
    x = 9,682.93

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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.