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Finding the Fourth Proportional to 6,102.52, 9,153.78 and 1,485.48

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Solution

The fourth proportional to 6,102.52, 9,153.78 and 1,485.48 is: 2,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.52 : 9,153.78 = 1,485.48 : x
  2. Step 2: Convert to fraction form
    6,102.52/9,153.78 = 1,485.48/x
  3. Step 3: Cross multiply
    6,102.52x = 9,153.78 × 1,485.48
  4. Step 4: Simplify right side
    6,102.52x = 13,597,757.11
  5. Step 5: Solve for x
    x = 13,597,757.11/6,102.52
  6. Step 6: Final answer
    x = 2,228.22

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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.