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Finding the Fourth Proportional to 6,203.67, 9,304.51 and 1,820.10

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Solution

The fourth proportional to 6,203.67, 9,304.51 and 1,820.10 is: 2,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,203.67 : 9,304.51 = 1,820.10 : x
  2. Step 2: Convert to fraction form
    6,203.67/9,304.51 = 1,820.10/x
  3. Step 3: Cross multiply
    6,203.67x = 9,304.51 × 1,820.10
  4. Step 4: Simplify right side
    6,203.67x = 16,935,138.65
  5. Step 5: Solve for x
    x = 16,935,138.65/6,203.67
  6. Step 6: Final answer
    x = 2,729.86

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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.