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Finding the Fourth Proportional to 7,846.22, 10,813.18 and 5,328.44

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Solution

The fourth proportional to 7,846.22, 10,813.18 and 5,328.44 is: 7,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.22 : 10,813.18 = 5,328.44 : x
  2. Step 2: Convert to fraction form
    7,846.22/10,813.18 = 5,328.44/x
  3. Step 3: Cross multiply
    7,846.22x = 10,813.18 × 5,328.44
  4. Step 4: Simplify right side
    7,846.22x = 57,617,380.84
  5. Step 5: Solve for x
    x = 57,617,380.84/7,846.22
  6. Step 6: Final answer
    x = 7,343.33

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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.