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Finding the Fourth Proportional to 9,765.02, 13,474.28 and 5,934.66

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Solution

The fourth proportional to 9,765.02, 13,474.28 and 5,934.66 is: 8,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.02 : 13,474.28 = 5,934.66 : x
  2. Step 2: Convert to fraction form
    9,765.02/13,474.28 = 5,934.66/x
  3. Step 3: Cross multiply
    9,765.02x = 13,474.28 × 5,934.66
  4. Step 4: Simplify right side
    9,765.02x = 79,965,270.54
  5. Step 5: Solve for x
    x = 79,965,270.54/9,765.02
  6. Step 6: Final answer
    x = 8,188.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.