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Finding the Fourth Proportional to 6,804.56, 10,206.96 and 2,854.96

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Solution

The fourth proportional to 6,804.56, 10,206.96 and 2,854.96 is: 4,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.56 : 10,206.96 = 2,854.96 : x
  2. Step 2: Convert to fraction form
    6,804.56/10,206.96 = 2,854.96/x
  3. Step 3: Cross multiply
    6,804.56x = 10,206.96 × 2,854.96
  4. Step 4: Simplify right side
    6,804.56x = 29,140,462.52
  5. Step 5: Solve for x
    x = 29,140,462.52/6,804.56
  6. Step 6: Final answer
    x = 4,282.49

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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.