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Finding the Fourth Proportional to 9,801.44, 14,673 and 9,451.52

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Solution

The fourth proportional to 9,801.44, 14,673 and 9,451.52 is: 14,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.44 : 14,673 = 9,451.52 : x
  2. Step 2: Convert to fraction form
    9,801.44/14,673 = 9,451.52/x
  3. Step 3: Cross multiply
    9,801.44x = 14,673 × 9,451.52
  4. Step 4: Simplify right side
    9,801.44x = 138,682,152.96
  5. Step 5: Solve for x
    x = 138,682,152.96/9,801.44
  6. Step 6: Final answer
    x = 14,149.16

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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.