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Finding the Fourth Proportional to 12,652.46, 17,460.33 and 7,063.46

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Solution

The fourth proportional to 12,652.46, 17,460.33 and 7,063.46 is: 9,747.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.46 : 17,460.33 = 7,063.46 : x
  2. Step 2: Convert to fraction form
    12,652.46/17,460.33 = 7,063.46/x
  3. Step 3: Cross multiply
    12,652.46x = 17,460.33 × 7,063.46
  4. Step 4: Simplify right side
    12,652.46x = 123,330,342.54
  5. Step 5: Solve for x
    x = 123,330,342.54/12,652.46
  6. Step 6: Final answer
    x = 9,747.54

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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.