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Finding the Fourth Proportional to 6,562.54, 9,843.76 and 2,402.83

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Solution

The fourth proportional to 6,562.54, 9,843.76 and 2,402.83 is: 3,604.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.54 : 9,843.76 = 2,402.83 : x
  2. Step 2: Convert to fraction form
    6,562.54/9,843.76 = 2,402.83/x
  3. Step 3: Cross multiply
    6,562.54x = 9,843.76 × 2,402.83
  4. Step 4: Simplify right side
    6,562.54x = 23,652,881.84
  5. Step 5: Solve for x
    x = 23,652,881.84/6,562.54
  6. Step 6: Final answer
    x = 3,604.23

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1.5x scale

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.