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Finding the Fourth Proportional to 6,192.68, 8,541.12 and 4,304.24

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Solution

The fourth proportional to 6,192.68, 8,541.12 and 4,304.24 is: 5,936.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.68 : 8,541.12 = 4,304.24 : x
  2. Step 2: Convert to fraction form
    6,192.68/8,541.12 = 4,304.24/x
  3. Step 3: Cross multiply
    6,192.68x = 8,541.12 × 4,304.24
  4. Step 4: Simplify right side
    6,192.68x = 36,763,030.35
  5. Step 5: Solve for x
    x = 36,763,030.35/6,192.68
  6. Step 6: Final answer
    x = 5,936.53

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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.