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Finding the Fourth Proportional to 6,452.63, 9,683.26 and 2,348.63

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Solution

The fourth proportional to 6,452.63, 9,683.26 and 2,348.63 is: 3,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.63 : 9,683.26 = 2,348.63 : x
  2. Step 2: Convert to fraction form
    6,452.63/9,683.26 = 2,348.63/x
  3. Step 3: Cross multiply
    6,452.63x = 9,683.26 × 2,348.63
  4. Step 4: Simplify right side
    6,452.63x = 22,742,394.93
  5. Step 5: Solve for x
    x = 22,742,394.93/6,452.63
  6. Step 6: Final answer
    x = 3,524.52

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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.