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Finding the Fourth Proportional to 6,533.14, 9,800.79 and 3,026.65

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Solution

The fourth proportional to 6,533.14, 9,800.79 and 3,026.65 is: 4,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.14 : 9,800.79 = 3,026.65 : x
  2. Step 2: Convert to fraction form
    6,533.14/9,800.79 = 3,026.65/x
  3. Step 3: Cross multiply
    6,533.14x = 9,800.79 × 3,026.65
  4. Step 4: Simplify right side
    6,533.14x = 29,663,561.05
  5. Step 5: Solve for x
    x = 29,663,561.05/6,533.14
  6. Step 6: Final answer
    x = 4,540.48

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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.