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Finding the Fourth Proportional to 9,801.15, 14,704.19 and 4,253.14

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Solution

The fourth proportional to 9,801.15, 14,704.19 and 4,253.14 is: 6,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.15 : 14,704.19 = 4,253.14 : x
  2. Step 2: Convert to fraction form
    9,801.15/14,704.19 = 4,253.14/x
  3. Step 3: Cross multiply
    9,801.15x = 14,704.19 × 4,253.14
  4. Step 4: Simplify right side
    9,801.15x = 62,538,978.66
  5. Step 5: Solve for x
    x = 62,538,978.66/9,801.15
  6. Step 6: Final answer
    x = 6,380.78

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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.