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Finding the Fourth Proportional to 9,634.28, 14,477.02 and 9,012.20

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Solution

The fourth proportional to 9,634.28, 14,477.02 and 9,012.20 is: 13,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.28 : 14,477.02 = 9,012.20 : x
  2. Step 2: Convert to fraction form
    9,634.28/14,477.02 = 9,012.20/x
  3. Step 3: Cross multiply
    9,634.28x = 14,477.02 × 9,012.20
  4. Step 4: Simplify right side
    9,634.28x = 130,469,799.64
  5. Step 5: Solve for x
    x = 130,469,799.64/9,634.28
  6. Step 6: Final answer
    x = 13,542.25

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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.