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Finding the Fourth Proportional to 9,865.64, 14,801.92 and 6,163.54

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Solution

The fourth proportional to 9,865.64, 14,801.92 and 6,163.54 is: 9,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.64 : 14,801.92 = 6,163.54 : x
  2. Step 2: Convert to fraction form
    9,865.64/14,801.92 = 6,163.54/x
  3. Step 3: Cross multiply
    9,865.64x = 14,801.92 × 6,163.54
  4. Step 4: Simplify right side
    9,865.64x = 91,232,173.58
  5. Step 5: Solve for x
    x = 91,232,173.58/9,865.64
  6. Step 6: Final answer
    x = 9,247.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.