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Finding the Fourth Proportional to 15,894.75, 21,935.25 and 8,821.83

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Solution

The fourth proportional to 15,894.75, 21,935.25 and 8,821.83 is: 12,174.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.75 : 21,935.25 = 8,821.83 : x
  2. Step 2: Convert to fraction form
    15,894.75/21,935.25 = 8,821.83/x
  3. Step 3: Cross multiply
    15,894.75x = 21,935.25 × 8,821.83
  4. Step 4: Simplify right side
    15,894.75x = 193,509,046.51
  5. Step 5: Solve for x
    x = 193,509,046.51/15,894.75
  6. Step 6: Final answer
    x = 12,174.40

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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.