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Finding the Fourth Proportional to 6,937, 10,405.50 and 2,073

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Solution

The fourth proportional to 6,937, 10,405.50 and 2,073 is: 3,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937 : 10,405.50 = 2,073 : x
  2. Step 2: Convert to fraction form
    6,937/10,405.50 = 2,073/x
  3. Step 3: Cross multiply
    6,937x = 10,405.50 × 2,073
  4. Step 4: Simplify right side
    6,937x = 21,570,601.50
  5. Step 5: Solve for x
    x = 21,570,601.50/6,937
  6. Step 6: Final answer
    x = 3,109.50

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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.