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Finding the Fourth Proportional to 6,538.92, 9,809.06 and 2,840.08

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Solution

The fourth proportional to 6,538.92, 9,809.06 and 2,840.08 is: 4,260.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.92 : 9,809.06 = 2,840.08 : x
  2. Step 2: Convert to fraction form
    6,538.92/9,809.06 = 2,840.08/x
  3. Step 3: Cross multiply
    6,538.92x = 9,809.06 × 2,840.08
  4. Step 4: Simplify right side
    6,538.92x = 27,858,515.12
  5. Step 5: Solve for x
    x = 27,858,515.12/6,538.92
  6. Step 6: Final answer
    x = 4,260.42

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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.