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Finding the Fourth Proportional to 10,794.22, 14,910.16 and 7,431.24

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Solution

The fourth proportional to 10,794.22, 14,910.16 and 7,431.24 is: 10,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.22 : 14,910.16 = 7,431.24 : x
  2. Step 2: Convert to fraction form
    10,794.22/14,910.16 = 7,431.24/x
  3. Step 3: Cross multiply
    10,794.22x = 14,910.16 × 7,431.24
  4. Step 4: Simplify right side
    10,794.22x = 110,800,977.40
  5. Step 5: Solve for x
    x = 110,800,977.40/10,794.22
  6. Step 6: Final answer
    x = 10,264.84

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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.