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Finding the Fourth Proportional to 11,197.64, 15,452.07 and 6,483.44

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Solution

The fourth proportional to 11,197.64, 15,452.07 and 6,483.44 is: 8,946.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.64 : 15,452.07 = 6,483.44 : x
  2. Step 2: Convert to fraction form
    11,197.64/15,452.07 = 6,483.44/x
  3. Step 3: Cross multiply
    11,197.64x = 15,452.07 × 6,483.44
  4. Step 4: Simplify right side
    11,197.64x = 100,182,583.04
  5. Step 5: Solve for x
    x = 100,182,583.04/11,197.64
  6. Step 6: Final answer
    x = 8,946.76

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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.