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Finding the Fourth Proportional to 6,561.73, 9,835.71 and 2,178.01

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Solution

The fourth proportional to 6,561.73, 9,835.71 and 2,178.01 is: 3,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.73 : 9,835.71 = 2,178.01 : x
  2. Step 2: Convert to fraction form
    6,561.73/9,835.71 = 2,178.01/x
  3. Step 3: Cross multiply
    6,561.73x = 9,835.71 × 2,178.01
  4. Step 4: Simplify right side
    6,561.73x = 21,422,274.74
  5. Step 5: Solve for x
    x = 21,422,274.74/6,561.73
  6. Step 6: Final answer
    x = 3,264.73

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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.