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Finding the Fourth Proportional to 6,353.22, 8,762.82 and 3,834.23

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Solution

The fourth proportional to 6,353.22, 8,762.82 and 3,834.23 is: 5,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.22 : 8,762.82 = 3,834.23 : x
  2. Step 2: Convert to fraction form
    6,353.22/8,762.82 = 3,834.23/x
  3. Step 3: Cross multiply
    6,353.22x = 8,762.82 × 3,834.23
  4. Step 4: Simplify right side
    6,353.22x = 33,598,623.51
  5. Step 5: Solve for x
    x = 33,598,623.51/6,353.22
  6. Step 6: Final answer
    x = 5,288.44

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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.