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Finding the Fourth Proportional to 6,365.73, 9,548.02 and 1,982.75

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Solution

The fourth proportional to 6,365.73, 9,548.02 and 1,982.75 is: 2,973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.73 : 9,548.02 = 1,982.75 : x
  2. Step 2: Convert to fraction form
    6,365.73/9,548.02 = 1,982.75/x
  3. Step 3: Cross multiply
    6,365.73x = 9,548.02 × 1,982.75
  4. Step 4: Simplify right side
    6,365.73x = 18,931,336.66
  5. Step 5: Solve for x
    x = 18,931,336.66/6,365.73
  6. Step 6: Final answer
    x = 2,973.95

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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.