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Finding the Fourth Proportional to 6,203.54, 9,306.24 and 1,820.48

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Solution

The fourth proportional to 6,203.54, 9,306.24 and 1,820.48 is: 2,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.54 : 9,306.24 = 1,820.48 : x
  2. Step 2: Convert to fraction form
    6,203.54/9,306.24 = 1,820.48/x
  3. Step 3: Cross multiply
    6,203.54x = 9,306.24 × 1,820.48
  4. Step 4: Simplify right side
    6,203.54x = 16,941,823.80
  5. Step 5: Solve for x
    x = 16,941,823.80/6,203.54
  6. Step 6: Final answer
    x = 2,730.99

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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.