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Finding the Fourth Proportional to 7,813.44, 10,782.03 and 4,456.41

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Solution

The fourth proportional to 7,813.44, 10,782.03 and 4,456.41 is: 6,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.44 : 10,782.03 = 4,456.41 : x
  2. Step 2: Convert to fraction form
    7,813.44/10,782.03 = 4,456.41/x
  3. Step 3: Cross multiply
    7,813.44x = 10,782.03 × 4,456.41
  4. Step 4: Simplify right side
    7,813.44x = 48,049,146.31
  5. Step 5: Solve for x
    x = 48,049,146.31/7,813.44
  6. Step 6: Final answer
    x = 6,149.55

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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.