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Finding the Fourth Proportional to 11,295, 15,585.98 and 6,515.38

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Solution

The fourth proportional to 11,295, 15,585.98 and 6,515.38 is: 8,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295 : 15,585.98 = 6,515.38 : x
  2. Step 2: Convert to fraction form
    11,295/15,585.98 = 6,515.38/x
  3. Step 3: Cross multiply
    11,295x = 15,585.98 × 6,515.38
  4. Step 4: Simplify right side
    11,295x = 101,548,559.70
  5. Step 5: Solve for x
    x = 101,548,559.70/11,295
  6. Step 6: Final answer
    x = 8,990.58

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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.