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Finding the Fourth Proportional to 6,415.02, 8,852.94 and 3,762.54

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Solution

The fourth proportional to 6,415.02, 8,852.94 and 3,762.54 is: 5,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.02 : 8,852.94 = 3,762.54 : x
  2. Step 2: Convert to fraction form
    6,415.02/8,852.94 = 3,762.54/x
  3. Step 3: Cross multiply
    6,415.02x = 8,852.94 × 3,762.54
  4. Step 4: Simplify right side
    6,415.02x = 33,309,540.87
  5. Step 5: Solve for x
    x = 33,309,540.87/6,415.02
  6. Step 6: Final answer
    x = 5,192.43

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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.