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Finding the Fourth Proportional to 5,947.09, 8,930.05 and 5,734.89

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Solution

The fourth proportional to 5,947.09, 8,930.05 and 5,734.89 is: 8,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.09 : 8,930.05 = 5,734.89 : x
  2. Step 2: Convert to fraction form
    5,947.09/8,930.05 = 5,734.89/x
  3. Step 3: Cross multiply
    5,947.09x = 8,930.05 × 5,734.89
  4. Step 4: Simplify right side
    5,947.09x = 51,212,840.11
  5. Step 5: Solve for x
    x = 51,212,840.11/5,947.09
  6. Step 6: Final answer
    x = 8,611.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.