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Finding the Fourth Proportional to 6,564.61, 9,846.19 and 1,947.25

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Solution

The fourth proportional to 6,564.61, 9,846.19 and 1,947.25 is: 2,920.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.61 : 9,846.19 = 1,947.25 : x
  2. Step 2: Convert to fraction form
    6,564.61/9,846.19 = 1,947.25/x
  3. Step 3: Cross multiply
    6,564.61x = 9,846.19 × 1,947.25
  4. Step 4: Simplify right side
    6,564.61x = 19,172,993.48
  5. Step 5: Solve for x
    x = 19,172,993.48/6,564.61
  6. Step 6: Final answer
    x = 2,920.66

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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.