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Finding the Fourth Proportional to 6,314.25, 9,472.59 and 2,851.50

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Solution

The fourth proportional to 6,314.25, 9,472.59 and 2,851.50 is: 4,277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.25 : 9,472.59 = 2,851.50 : x
  2. Step 2: Convert to fraction form
    6,314.25/9,472.59 = 2,851.50/x
  3. Step 3: Cross multiply
    6,314.25x = 9,472.59 × 2,851.50
  4. Step 4: Simplify right side
    6,314.25x = 27,011,090.39
  5. Step 5: Solve for x
    x = 27,011,090.39/6,314.25
  6. Step 6: Final answer
    x = 4,277.80

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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.