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Finding the Fourth Proportional to 9,470.54, 13,067.25 and 6,324.50

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Solution

The fourth proportional to 9,470.54, 13,067.25 and 6,324.50 is: 8,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.54 : 13,067.25 = 6,324.50 : x
  2. Step 2: Convert to fraction form
    9,470.54/13,067.25 = 6,324.50/x
  3. Step 3: Cross multiply
    9,470.54x = 13,067.25 × 6,324.50
  4. Step 4: Simplify right side
    9,470.54x = 82,643,822.63
  5. Step 5: Solve for x
    x = 82,643,822.63/9,470.54
  6. Step 6: Final answer
    x = 8,726.41

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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.