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Finding the Fourth Proportional to 9,400.94, 12,967.43 and 6,048.12

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Solution

The fourth proportional to 9,400.94, 12,967.43 and 6,048.12 is: 8,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.94 : 12,967.43 = 6,048.12 : x
  2. Step 2: Convert to fraction form
    9,400.94/12,967.43 = 6,048.12/x
  3. Step 3: Cross multiply
    9,400.94x = 12,967.43 × 6,048.12
  4. Step 4: Simplify right side
    9,400.94x = 78,428,542.49
  5. Step 5: Solve for x
    x = 78,428,542.49/9,400.94
  6. Step 6: Final answer
    x = 8,342.63

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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.