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Finding the Fourth Proportional to 15,797.32, 21,797.82 and 9,083.20

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Solution

The fourth proportional to 15,797.32, 21,797.82 and 9,083.20 is: 12,533.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.32 : 21,797.82 = 9,083.20 : x
  2. Step 2: Convert to fraction form
    15,797.32/21,797.82 = 9,083.20/x
  3. Step 3: Cross multiply
    15,797.32x = 21,797.82 × 9,083.20
  4. Step 4: Simplify right side
    15,797.32x = 197,993,958.62
  5. Step 5: Solve for x
    x = 197,993,958.62/15,797.32
  6. Step 6: Final answer
    x = 12,533.39

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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.