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Finding the Fourth Proportional to 11,310.63, 15,608.66 and 6,594

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Solution

The fourth proportional to 11,310.63, 15,608.66 and 6,594 is: 9,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.63 : 15,608.66 = 6,594 : x
  2. Step 2: Convert to fraction form
    11,310.63/15,608.66 = 6,594/x
  3. Step 3: Cross multiply
    11,310.63x = 15,608.66 × 6,594
  4. Step 4: Simplify right side
    11,310.63x = 102,923,504.04
  5. Step 5: Solve for x
    x = 102,923,504.04/11,310.63
  6. Step 6: Final answer
    x = 9,099.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.