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Finding the Fourth Proportional to 15,981.14, 22,054 and 8,907.41

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Solution

The fourth proportional to 15,981.14, 22,054 and 8,907.41 is: 12,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981.14 : 22,054 = 8,907.41 : x
  2. Step 2: Convert to fraction form
    15,981.14/22,054 = 8,907.41/x
  3. Step 3: Cross multiply
    15,981.14x = 22,054 × 8,907.41
  4. Step 4: Simplify right side
    15,981.14x = 196,444,020.14
  5. Step 5: Solve for x
    x = 196,444,020.14/15,981.14
  6. Step 6: Final answer
    x = 12,292.24

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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.