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Finding the Fourth Proportional to 11,568.78, 15,964.86 and 6,263.58

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Solution

The fourth proportional to 11,568.78, 15,964.86 and 6,263.58 is: 8,643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568.78 : 15,964.86 = 6,263.58 : x
  2. Step 2: Convert to fraction form
    11,568.78/15,964.86 = 6,263.58/x
  3. Step 3: Cross multiply
    11,568.78x = 15,964.86 × 6,263.58
  4. Step 4: Simplify right side
    11,568.78x = 99,997,177.80
  5. Step 5: Solve for x
    x = 99,997,177.80/11,568.78
  6. Step 6: Final answer
    x = 8,643.71

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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.