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Finding the Fourth Proportional to 17,937, 26,905.46 and 6,242

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Solution

The fourth proportional to 17,937, 26,905.46 and 6,242 is: 9,362.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,937 : 26,905.46 = 6,242 : x
  2. Step 2: Convert to fraction form
    17,937/26,905.46 = 6,242/x
  3. Step 3: Cross multiply
    17,937x = 26,905.46 × 6,242
  4. Step 4: Simplify right side
    17,937x = 167,943,881.32
  5. Step 5: Solve for x
    x = 167,943,881.32/17,937
  6. Step 6: Final answer
    x = 9,362.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.