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Finding the Fourth Proportional to 7,774.58, 10,729.06 and 4,237.94

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Solution

The fourth proportional to 7,774.58, 10,729.06 and 4,237.94 is: 5,848.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.58 : 10,729.06 = 4,237.94 : x
  2. Step 2: Convert to fraction form
    7,774.58/10,729.06 = 4,237.94/x
  3. Step 3: Cross multiply
    7,774.58x = 10,729.06 × 4,237.94
  4. Step 4: Simplify right side
    7,774.58x = 45,469,112.54
  5. Step 5: Solve for x
    x = 45,469,112.54/7,774.58
  6. Step 6: Final answer
    x = 5,848.43

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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.