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Finding the Fourth Proportional to 7,194.78, 9,927.97 and 4,007.57

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Solution

The fourth proportional to 7,194.78, 9,927.97 and 4,007.57 is: 5,529.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.78 : 9,927.97 = 4,007.57 : x
  2. Step 2: Convert to fraction form
    7,194.78/9,927.97 = 4,007.57/x
  3. Step 3: Cross multiply
    7,194.78x = 9,927.97 × 4,007.57
  4. Step 4: Simplify right side
    7,194.78x = 39,786,975.07
  5. Step 5: Solve for x
    x = 39,786,975.07/7,194.78
  6. Step 6: Final answer
    x = 5,529.98

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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.