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Finding the Fourth Proportional to 6,096.24, 8,416.71 and 4,979.85

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Solution

The fourth proportional to 6,096.24, 8,416.71 and 4,979.85 is: 6,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.24 : 8,416.71 = 4,979.85 : x
  2. Step 2: Convert to fraction form
    6,096.24/8,416.71 = 4,979.85/x
  3. Step 3: Cross multiply
    6,096.24x = 8,416.71 × 4,979.85
  4. Step 4: Simplify right side
    6,096.24x = 41,913,953.29
  5. Step 5: Solve for x
    x = 41,913,953.29/6,096.24
  6. Step 6: Final answer
    x = 6,875.38

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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.