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Finding the Fourth Proportional to 9,266.24, 12,786.24 and 7,382.60

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Solution

The fourth proportional to 9,266.24, 12,786.24 and 7,382.60 is: 10,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.24 : 12,786.24 = 7,382.60 : x
  2. Step 2: Convert to fraction form
    9,266.24/12,786.24 = 7,382.60/x
  3. Step 3: Cross multiply
    9,266.24x = 12,786.24 × 7,382.60
  4. Step 4: Simplify right side
    9,266.24x = 94,395,695.42
  5. Step 5: Solve for x
    x = 94,395,695.42/9,266.24
  6. Step 6: Final answer
    x = 10,187.05

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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.