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Finding the Fourth Proportional to 9,801.84, 13,529.40 and 5,974.86

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Solution

The fourth proportional to 9,801.84, 13,529.40 and 5,974.86 is: 8,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.84 : 13,529.40 = 5,974.86 : x
  2. Step 2: Convert to fraction form
    9,801.84/13,529.40 = 5,974.86/x
  3. Step 3: Cross multiply
    9,801.84x = 13,529.40 × 5,974.86
  4. Step 4: Simplify right side
    9,801.84x = 80,836,270.88
  5. Step 5: Solve for x
    x = 80,836,270.88/9,801.84
  6. Step 6: Final answer
    x = 8,247.05

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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.