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Finding the Fourth Proportional to 11,937, 16,471.58 and 6,631.14

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Solution

The fourth proportional to 11,937, 16,471.58 and 6,631.14 is: 9,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937 : 16,471.58 = 6,631.14 : x
  2. Step 2: Convert to fraction form
    11,937/16,471.58 = 6,631.14/x
  3. Step 3: Cross multiply
    11,937x = 16,471.58 × 6,631.14
  4. Step 4: Simplify right side
    11,937x = 109,225,319.85
  5. Step 5: Solve for x
    x = 109,225,319.85/11,937
  6. Step 6: Final answer
    x = 9,150.15

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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.