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Finding the Fourth Proportional to 6,805.08, 10,203.14 and 3,288.14

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Solution

The fourth proportional to 6,805.08, 10,203.14 and 3,288.14 is: 4,930.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.08 : 10,203.14 = 3,288.14 : x
  2. Step 2: Convert to fraction form
    6,805.08/10,203.14 = 3,288.14/x
  3. Step 3: Cross multiply
    6,805.08x = 10,203.14 × 3,288.14
  4. Step 4: Simplify right side
    6,805.08x = 33,549,352.76
  5. Step 5: Solve for x
    x = 33,549,352.76/6,805.08
  6. Step 6: Final answer
    x = 4,930.05

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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.