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Finding the Fourth Proportional to 11,063.66, 15,269.82 and 6,590

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Solution

The fourth proportional to 11,063.66, 15,269.82 and 6,590 is: 9,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,063.66 : 15,269.82 = 6,590 : x
  2. Step 2: Convert to fraction form
    11,063.66/15,269.82 = 6,590/x
  3. Step 3: Cross multiply
    11,063.66x = 15,269.82 × 6,590
  4. Step 4: Simplify right side
    11,063.66x = 100,628,113.80
  5. Step 5: Solve for x
    x = 100,628,113.80/11,063.66
  6. Step 6: Final answer
    x = 9,095.37

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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.