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Finding the Fourth Proportional to 9,257.67, 13,883.67 and 3,708.09

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Solution

The fourth proportional to 9,257.67, 13,883.67 and 3,708.09 is: 5,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.67 : 13,883.67 = 3,708.09 : x
  2. Step 2: Convert to fraction form
    9,257.67/13,883.67 = 3,708.09/x
  3. Step 3: Cross multiply
    9,257.67x = 13,883.67 × 3,708.09
  4. Step 4: Simplify right side
    9,257.67x = 51,481,897.89
  5. Step 5: Solve for x
    x = 51,481,897.89/9,257.67
  6. Step 6: Final answer
    x = 5,561.00

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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.