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Finding the Fourth Proportional to 6,308.74, 9,382.91 and 6,184.41

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Solution

The fourth proportional to 6,308.74, 9,382.91 and 6,184.41 is: 9,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.74 : 9,382.91 = 6,184.41 : x
  2. Step 2: Convert to fraction form
    6,308.74/9,382.91 = 6,184.41/x
  3. Step 3: Cross multiply
    6,308.74x = 9,382.91 × 6,184.41
  4. Step 4: Simplify right side
    6,308.74x = 58,027,762.43
  5. Step 5: Solve for x
    x = 58,027,762.43/6,308.74
  6. Step 6: Final answer
    x = 9,198.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.