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Finding the Fourth Proportional to 6,951.54, 9,594 and 3,927.24

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Solution

The fourth proportional to 6,951.54, 9,594 and 3,927.24 is: 5,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.54 : 9,594 = 3,927.24 : x
  2. Step 2: Convert to fraction form
    6,951.54/9,594 = 3,927.24/x
  3. Step 3: Cross multiply
    6,951.54x = 9,594 × 3,927.24
  4. Step 4: Simplify right side
    6,951.54x = 37,677,940.56
  5. Step 5: Solve for x
    x = 37,677,940.56/6,951.54
  6. Step 6: Final answer
    x = 5,420.09

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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.