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Finding the Fourth Proportional to 8,203.71, 12,304.24 and 2,937.74

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Solution

The fourth proportional to 8,203.71, 12,304.24 and 2,937.74 is: 4,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.71 : 12,304.24 = 2,937.74 : x
  2. Step 2: Convert to fraction form
    8,203.71/12,304.24 = 2,937.74/x
  3. Step 3: Cross multiply
    8,203.71x = 12,304.24 × 2,937.74
  4. Step 4: Simplify right side
    8,203.71x = 36,146,658.02
  5. Step 5: Solve for x
    x = 36,146,658.02/8,203.71
  6. Step 6: Final answer
    x = 4,406.14

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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.