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Finding the Fourth Proportional to 9,238.98, 13,858.48 and 2,313.48

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Solution

The fourth proportional to 9,238.98, 13,858.48 and 2,313.48 is: 3,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.98 : 13,858.48 = 2,313.48 : x
  2. Step 2: Convert to fraction form
    9,238.98/13,858.48 = 2,313.48/x
  3. Step 3: Cross multiply
    9,238.98x = 13,858.48 × 2,313.48
  4. Step 4: Simplify right side
    9,238.98x = 32,061,316.31
  5. Step 5: Solve for x
    x = 32,061,316.31/9,238.98
  6. Step 6: Final answer
    x = 3,470.22

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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.