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Finding the Fourth Proportional to 11,576.50, 17,388.06 and 6,905.64

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Solution

The fourth proportional to 11,576.50, 17,388.06 and 6,905.64 is: 10,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.50 : 17,388.06 = 6,905.64 : x
  2. Step 2: Convert to fraction form
    11,576.50/17,388.06 = 6,905.64/x
  3. Step 3: Cross multiply
    11,576.50x = 17,388.06 × 6,905.64
  4. Step 4: Simplify right side
    11,576.50x = 120,075,682.66
  5. Step 5: Solve for x
    x = 120,075,682.66/11,576.50
  6. Step 6: Final answer
    x = 10,372.36

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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.