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Finding the Fourth Proportional to 12,610.94, 17,410.07 and 7,576.38

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Solution

The fourth proportional to 12,610.94, 17,410.07 and 7,576.38 is: 10,459.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.94 : 17,410.07 = 7,576.38 : x
  2. Step 2: Convert to fraction form
    12,610.94/17,410.07 = 7,576.38/x
  3. Step 3: Cross multiply
    12,610.94x = 17,410.07 × 7,576.38
  4. Step 4: Simplify right side
    12,610.94x = 131,905,325.09
  5. Step 5: Solve for x
    x = 131,905,325.09/12,610.94
  6. Step 6: Final answer
    x = 10,459.60

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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.