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Finding the Fourth Proportional to 7,209.44, 9,946.52 and 4,064.96

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Solution

The fourth proportional to 7,209.44, 9,946.52 and 4,064.96 is: 5,608.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.44 : 9,946.52 = 4,064.96 : x
  2. Step 2: Convert to fraction form
    7,209.44/9,946.52 = 4,064.96/x
  3. Step 3: Cross multiply
    7,209.44x = 9,946.52 × 4,064.96
  4. Step 4: Simplify right side
    7,209.44x = 40,432,205.94
  5. Step 5: Solve for x
    x = 40,432,205.94/7,209.44
  6. Step 6: Final answer
    x = 5,608.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.