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Finding the Fourth Proportional to 7,630.26, 11,445.26 and 2,436

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Solution

The fourth proportional to 7,630.26, 11,445.26 and 2,436 is: 3,653.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.26 : 11,445.26 = 2,436 : x
  2. Step 2: Convert to fraction form
    7,630.26/11,445.26 = 2,436/x
  3. Step 3: Cross multiply
    7,630.26x = 11,445.26 × 2,436
  4. Step 4: Simplify right side
    7,630.26x = 27,880,641.18
  5. Step 5: Solve for x
    x = 27,880,641.18/7,630.26
  6. Step 6: Final answer
    x = 3,653.96

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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.