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Finding the Fourth Proportional to 15,797.02, 21,807.78 and 9,830.62

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Solution

The fourth proportional to 15,797.02, 21,807.78 and 9,830.62 is: 13,571.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,797.02 : 21,807.78 = 9,830.62 : x
  2. Step 2: Convert to fraction form
    15,797.02/21,807.78 = 9,830.62/x
  3. Step 3: Cross multiply
    15,797.02x = 21,807.78 × 9,830.62
  4. Step 4: Simplify right side
    15,797.02x = 214,383,998.22
  5. Step 5: Solve for x
    x = 214,383,998.22/15,797.02
  6. Step 6: Final answer
    x = 13,571.17

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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.