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Finding the Fourth Proportional to 6,804.62, 10,202.68 and 2,854.82

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Solution

The fourth proportional to 6,804.62, 10,202.68 and 2,854.82 is: 4,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.62 : 10,202.68 = 2,854.82 : x
  2. Step 2: Convert to fraction form
    6,804.62/10,202.68 = 2,854.82/x
  3. Step 3: Cross multiply
    6,804.62x = 10,202.68 × 2,854.82
  4. Step 4: Simplify right side
    6,804.62x = 29,126,814.92
  5. Step 5: Solve for x
    x = 29,126,814.92/6,804.62
  6. Step 6: Final answer
    x = 4,280.45

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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.