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Finding the Fourth Proportional to 6,745.76, 10,125.84 and 5,448.32

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Solution

The fourth proportional to 6,745.76, 10,125.84 and 5,448.32 is: 8,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.76 : 10,125.84 = 5,448.32 : x
  2. Step 2: Convert to fraction form
    6,745.76/10,125.84 = 5,448.32/x
  3. Step 3: Cross multiply
    6,745.76x = 10,125.84 × 5,448.32
  4. Step 4: Simplify right side
    6,745.76x = 55,168,816.59
  5. Step 5: Solve for x
    x = 55,168,816.59/6,745.76
  6. Step 6: Final answer
    x = 8,178.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.