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Finding the Fourth Proportional to 6,164.64, 9,237.68 and 4,108.32

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Solution

The fourth proportional to 6,164.64, 9,237.68 and 4,108.32 is: 6,156.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.64 : 9,237.68 = 4,108.32 : x
  2. Step 2: Convert to fraction form
    6,164.64/9,237.68 = 4,108.32/x
  3. Step 3: Cross multiply
    6,164.64x = 9,237.68 × 4,108.32
  4. Step 4: Simplify right side
    6,164.64x = 37,951,345.50
  5. Step 5: Solve for x
    x = 37,951,345.50/6,164.64
  6. Step 6: Final answer
    x = 6,156.30

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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.