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Finding the Fourth Proportional to 6,479.48, 9,719.37 and 4,846.40

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Solution

The fourth proportional to 6,479.48, 9,719.37 and 4,846.40 is: 7,269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.48 : 9,719.37 = 4,846.40 : x
  2. Step 2: Convert to fraction form
    6,479.48/9,719.37 = 4,846.40/x
  3. Step 3: Cross multiply
    6,479.48x = 9,719.37 × 4,846.40
  4. Step 4: Simplify right side
    6,479.48x = 47,103,906.17
  5. Step 5: Solve for x
    x = 47,103,906.17/6,479.48
  6. Step 6: Final answer
    x = 7,269.71

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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.