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Finding the Fourth Proportional to 6,452.36, 9,678.54 and 2,558.60

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Solution

The fourth proportional to 6,452.36, 9,678.54 and 2,558.60 is: 3,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.36 : 9,678.54 = 2,558.60 : x
  2. Step 2: Convert to fraction form
    6,452.36/9,678.54 = 2,558.60/x
  3. Step 3: Cross multiply
    6,452.36x = 9,678.54 × 2,558.60
  4. Step 4: Simplify right side
    6,452.36x = 24,763,512.44
  5. Step 5: Solve for x
    x = 24,763,512.44/6,452.36
  6. Step 6: Final answer
    x = 3,837.90

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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.