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Finding the Fourth Proportional to 10,970.39, 15,138.23 and 6,493.37

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Solution

The fourth proportional to 10,970.39, 15,138.23 and 6,493.37 is: 8,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,970.39 : 15,138.23 = 6,493.37 : x
  2. Step 2: Convert to fraction form
    10,970.39/15,138.23 = 6,493.37/x
  3. Step 3: Cross multiply
    10,970.39x = 15,138.23 × 6,493.37
  4. Step 4: Simplify right side
    10,970.39x = 98,298,020.38
  5. Step 5: Solve for x
    x = 98,298,020.38/10,970.39
  6. Step 6: Final answer
    x = 8,960.31

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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.