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Finding the Fourth Proportional to 6,226.88, 9,326.34 and 4,836.00

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Solution

The fourth proportional to 6,226.88, 9,326.34 and 4,836.00 is: 7,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.88 : 9,326.34 = 4,836.00 : x
  2. Step 2: Convert to fraction form
    6,226.88/9,326.34 = 4,836.00/x
  3. Step 3: Cross multiply
    6,226.88x = 9,326.34 × 4,836.00
  4. Step 4: Simplify right side
    6,226.88x = 45,102,215.21
  5. Step 5: Solve for x
    x = 45,102,215.21/6,226.88
  6. Step 6: Final answer
    x = 7,243.15

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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.