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Finding the Fourth Proportional to 9,608.25, 13,259.40 and 5,192.25

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Solution

The fourth proportional to 9,608.25, 13,259.40 and 5,192.25 is: 7,165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.25 : 13,259.40 = 5,192.25 : x
  2. Step 2: Convert to fraction form
    9,608.25/13,259.40 = 5,192.25/x
  3. Step 3: Cross multiply
    9,608.25x = 13,259.40 × 5,192.25
  4. Step 4: Simplify right side
    9,608.25x = 68,846,119.65
  5. Step 5: Solve for x
    x = 68,846,119.65/9,608.25
  6. Step 6: Final answer
    x = 7,165.31

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Similar ratio
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1.5x scale

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.