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Finding the Fourth Proportional to 8,429, 12,643.74 and 2,273

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Solution

The fourth proportional to 8,429, 12,643.74 and 2,273 is: 3,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429 : 12,643.74 = 2,273 : x
  2. Step 2: Convert to fraction form
    8,429/12,643.74 = 2,273/x
  3. Step 3: Cross multiply
    8,429x = 12,643.74 × 2,273
  4. Step 4: Simplify right side
    8,429x = 28,739,221.02
  5. Step 5: Solve for x
    x = 28,739,221.02/8,429
  6. Step 6: Final answer
    x = 3,409.56

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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.