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Finding the Fourth Proportional to 11,193.60, 15,445.95 and 6,477

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Solution

The fourth proportional to 11,193.60, 15,445.95 and 6,477 is: 8,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.60 : 15,445.95 = 6,477 : x
  2. Step 2: Convert to fraction form
    11,193.60/15,445.95 = 6,477/x
  3. Step 3: Cross multiply
    11,193.60x = 15,445.95 × 6,477
  4. Step 4: Simplify right side
    11,193.60x = 100,043,418.15
  5. Step 5: Solve for x
    x = 100,043,418.15/11,193.60
  6. Step 6: Final answer
    x = 8,937.56

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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.