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Finding the Fourth Proportional to 11,768.64, 16,240.95 and 6,463.14

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Solution

The fourth proportional to 11,768.64, 16,240.95 and 6,463.14 is: 8,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.64 : 16,240.95 = 6,463.14 : x
  2. Step 2: Convert to fraction form
    11,768.64/16,240.95 = 6,463.14/x
  3. Step 3: Cross multiply
    11,768.64x = 16,240.95 × 6,463.14
  4. Step 4: Simplify right side
    11,768.64x = 104,967,533.58
  5. Step 5: Solve for x
    x = 104,967,533.58/11,768.64
  6. Step 6: Final answer
    x = 8,919.26

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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.