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Finding the Fourth Proportional to 15,984.75, 22,059.71 and 8,911.17

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Solution

The fourth proportional to 15,984.75, 22,059.71 and 8,911.17 is: 12,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,984.75 : 22,059.71 = 8,911.17 : x
  2. Step 2: Convert to fraction form
    15,984.75/22,059.71 = 8,911.17/x
  3. Step 3: Cross multiply
    15,984.75x = 22,059.71 × 8,911.17
  4. Step 4: Simplify right side
    15,984.75x = 196,577,848.24
  5. Step 5: Solve for x
    x = 196,577,848.24/15,984.75
  6. Step 6: Final answer
    x = 12,297.84

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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.