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Finding the Fourth Proportional to 12,077.92, 16,668.75 and 7,364.98

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Solution

The fourth proportional to 12,077.92, 16,668.75 and 7,364.98 is: 10,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.92 : 16,668.75 = 7,364.98 : x
  2. Step 2: Convert to fraction form
    12,077.92/16,668.75 = 7,364.98/x
  3. Step 3: Cross multiply
    12,077.92x = 16,668.75 × 7,364.98
  4. Step 4: Simplify right side
    12,077.92x = 122,765,010.38
  5. Step 5: Solve for x
    x = 122,765,010.38/12,077.92
  6. Step 6: Final answer
    x = 10,164.42

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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.