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Finding the Fourth Proportional to 6,559.38, 9,845.79 and 5,114.34

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Solution

The fourth proportional to 6,559.38, 9,845.79 and 5,114.34 is: 7,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.38 : 9,845.79 = 5,114.34 : x
  2. Step 2: Convert to fraction form
    6,559.38/9,845.79 = 5,114.34/x
  3. Step 3: Cross multiply
    6,559.38x = 9,845.79 × 5,114.34
  4. Step 4: Simplify right side
    6,559.38x = 50,354,717.63
  5. Step 5: Solve for x
    x = 50,354,717.63/6,559.38
  6. Step 6: Final answer
    x = 7,676.75

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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.