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Finding the Fourth Proportional to 10,955.75, 16,409.93 and 6,796.80

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Solution

The fourth proportional to 10,955.75, 16,409.93 and 6,796.80 is: 10,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.75 : 16,409.93 = 6,796.80 : x
  2. Step 2: Convert to fraction form
    10,955.75/16,409.93 = 6,796.80/x
  3. Step 3: Cross multiply
    10,955.75x = 16,409.93 × 6,796.80
  4. Step 4: Simplify right side
    10,955.75x = 111,534,978.24
  5. Step 5: Solve for x
    x = 111,534,978.24/10,955.75
  6. Step 6: Final answer
    x = 10,180.50

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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.