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Finding the Fourth Proportional to 9,262.75, 12,782.60 and 5,071

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Solution

The fourth proportional to 9,262.75, 12,782.60 and 5,071 is: 6,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.75 : 12,782.60 = 5,071 : x
  2. Step 2: Convert to fraction form
    9,262.75/12,782.60 = 5,071/x
  3. Step 3: Cross multiply
    9,262.75x = 12,782.60 × 5,071
  4. Step 4: Simplify right side
    9,262.75x = 64,820,564.60
  5. Step 5: Solve for x
    x = 64,820,564.60/9,262.75
  6. Step 6: Final answer
    x = 6,997.98

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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.