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Finding the Fourth Proportional to 6,804.48, 10,209.48 and 4,611.96

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Solution

The fourth proportional to 6,804.48, 10,209.48 and 4,611.96 is: 6,919.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.48 : 10,209.48 = 4,611.96 : x
  2. Step 2: Convert to fraction form
    6,804.48/10,209.48 = 4,611.96/x
  3. Step 3: Cross multiply
    6,804.48x = 10,209.48 × 4,611.96
  4. Step 4: Simplify right side
    6,804.48x = 47,085,713.38
  5. Step 5: Solve for x
    x = 47,085,713.38/6,804.48
  6. Step 6: Final answer
    x = 6,919.81

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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.