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Finding the Fourth Proportional to 9,182.80, 13,741.80 and 6,266.80

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Solution

The fourth proportional to 9,182.80, 13,741.80 and 6,266.80 is: 9,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.80 : 13,741.80 = 6,266.80 : x
  2. Step 2: Convert to fraction form
    9,182.80/13,741.80 = 6,266.80/x
  3. Step 3: Cross multiply
    9,182.80x = 13,741.80 × 6,266.80
  4. Step 4: Simplify right side
    9,182.80x = 86,117,112.24
  5. Step 5: Solve for x
    x = 86,117,112.24/9,182.80
  6. Step 6: Final answer
    x = 9,378.09

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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.