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Finding the Fourth Proportional to 12,251.76, 16,907.54 and 6,662.76

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Solution

The fourth proportional to 12,251.76, 16,907.54 and 6,662.76 is: 9,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.76 : 16,907.54 = 6,662.76 : x
  2. Step 2: Convert to fraction form
    12,251.76/16,907.54 = 6,662.76/x
  3. Step 3: Cross multiply
    12,251.76x = 16,907.54 × 6,662.76
  4. Step 4: Simplify right side
    12,251.76x = 112,650,881.21
  5. Step 5: Solve for x
    x = 112,650,881.21/12,251.76
  6. Step 6: Final answer
    x = 9,194.67

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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.