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Finding the Fourth Proportional to 6,464.31, 9,696.68 and 1,784.67

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Solution

The fourth proportional to 6,464.31, 9,696.68 and 1,784.67 is: 2,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.31 : 9,696.68 = 1,784.67 : x
  2. Step 2: Convert to fraction form
    6,464.31/9,696.68 = 1,784.67/x
  3. Step 3: Cross multiply
    6,464.31x = 9,696.68 × 1,784.67
  4. Step 4: Simplify right side
    6,464.31x = 17,305,364.97
  5. Step 5: Solve for x
    x = 17,305,364.97/6,464.31
  6. Step 6: Final answer
    x = 2,677.06

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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.