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Finding the Fourth Proportional to 9,235.14, 13,855.14 and 6,799.08

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Solution

The fourth proportional to 9,235.14, 13,855.14 and 6,799.08 is: 10,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.14 : 13,855.14 = 6,799.08 : x
  2. Step 2: Convert to fraction form
    9,235.14/13,855.14 = 6,799.08/x
  3. Step 3: Cross multiply
    9,235.14x = 13,855.14 × 6,799.08
  4. Step 4: Simplify right side
    9,235.14x = 94,202,205.27
  5. Step 5: Solve for x
    x = 94,202,205.27/9,235.14
  6. Step 6: Final answer
    x = 10,200.41

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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.