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Finding the Fourth Proportional to 8,450, 12,675.04 and 2,294

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Solution

The fourth proportional to 8,450, 12,675.04 and 2,294 is: 3,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450 : 12,675.04 = 2,294 : x
  2. Step 2: Convert to fraction form
    8,450/12,675.04 = 2,294/x
  3. Step 3: Cross multiply
    8,450x = 12,675.04 × 2,294
  4. Step 4: Simplify right side
    8,450x = 29,076,541.76
  5. Step 5: Solve for x
    x = 29,076,541.76/8,450
  6. Step 6: Final answer
    x = 3,441.01

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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.