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Finding the Fourth Proportional to 12,101.74, 16,703.85 and 7,067.14

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Solution

The fourth proportional to 12,101.74, 16,703.85 and 7,067.14 is: 9,754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.74 : 16,703.85 = 7,067.14 : x
  2. Step 2: Convert to fraction form
    12,101.74/16,703.85 = 7,067.14/x
  3. Step 3: Cross multiply
    12,101.74x = 16,703.85 × 7,067.14
  4. Step 4: Simplify right side
    12,101.74x = 118,048,446.49
  5. Step 5: Solve for x
    x = 118,048,446.49/12,101.74
  6. Step 6: Final answer
    x = 9,754.67

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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.