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Finding the Fourth Proportional to 10,799.10, 16,235.10 and 9,195.30

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Solution

The fourth proportional to 10,799.10, 16,235.10 and 9,195.30 is: 13,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.10 : 16,235.10 = 9,195.30 : x
  2. Step 2: Convert to fraction form
    10,799.10/16,235.10 = 9,195.30/x
  3. Step 3: Cross multiply
    10,799.10x = 16,235.10 × 9,195.30
  4. Step 4: Simplify right side
    10,799.10x = 149,286,615.03
  5. Step 5: Solve for x
    x = 149,286,615.03/10,799.10
  6. Step 6: Final answer
    x = 13,823.99

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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.