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Finding the Fourth Proportional to 6,460.74, 9,684.63 and 5,359.14

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Solution

The fourth proportional to 6,460.74, 9,684.63 and 5,359.14 is: 8,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.74 : 9,684.63 = 5,359.14 : x
  2. Step 2: Convert to fraction form
    6,460.74/9,684.63 = 5,359.14/x
  3. Step 3: Cross multiply
    6,460.74x = 9,684.63 × 5,359.14
  4. Step 4: Simplify right side
    6,460.74x = 51,901,288.02
  5. Step 5: Solve for x
    x = 51,901,288.02/6,460.74
  6. Step 6: Final answer
    x = 8,033.33

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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.