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Finding the Fourth Proportional to 11,416.18, 15,753 and 6,380.41

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Solution

The fourth proportional to 11,416.18, 15,753 and 6,380.41 is: 8,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.18 : 15,753 = 6,380.41 : x
  2. Step 2: Convert to fraction form
    11,416.18/15,753 = 6,380.41/x
  3. Step 3: Cross multiply
    11,416.18x = 15,753 × 6,380.41
  4. Step 4: Simplify right side
    11,416.18x = 100,510,598.73
  5. Step 5: Solve for x
    x = 100,510,598.73/11,416.18
  6. Step 6: Final answer
    x = 8,804.22

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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.