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Finding the Fourth Proportional to 9,608.94, 13,260.34 and 5,192.94

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Solution

The fourth proportional to 9,608.94, 13,260.34 and 5,192.94 is: 7,166.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.94 : 13,260.34 = 5,192.94 : x
  2. Step 2: Convert to fraction form
    9,608.94/13,260.34 = 5,192.94/x
  3. Step 3: Cross multiply
    9,608.94x = 13,260.34 × 5,192.94
  4. Step 4: Simplify right side
    9,608.94x = 68,860,150.00
  5. Step 5: Solve for x
    x = 68,860,150.00/9,608.94
  6. Step 6: Final answer
    x = 7,166.26

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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.