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Finding the Fourth Proportional to 10,664.10, 15,984 and 4,087.44

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Solution

The fourth proportional to 10,664.10, 15,984 and 4,087.44 is: 6,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.10 : 15,984 = 4,087.44 : x
  2. Step 2: Convert to fraction form
    10,664.10/15,984 = 4,087.44/x
  3. Step 3: Cross multiply
    10,664.10x = 15,984 × 4,087.44
  4. Step 4: Simplify right side
    10,664.10x = 65,333,640.96
  5. Step 5: Solve for x
    x = 65,333,640.96/10,664.10
  6. Step 6: Final answer
    x = 6,126.50

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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.