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Finding the Fourth Proportional to 10,937, 15,093.14 and 5,969

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Solution

The fourth proportional to 10,937, 15,093.14 and 5,969 is: 8,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937 : 15,093.14 = 5,969 : x
  2. Step 2: Convert to fraction form
    10,937/15,093.14 = 5,969/x
  3. Step 3: Cross multiply
    10,937x = 15,093.14 × 5,969
  4. Step 4: Simplify right side
    10,937x = 90,090,952.66
  5. Step 5: Solve for x
    x = 90,090,952.66/10,937
  6. Step 6: Final answer
    x = 8,237.26

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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.