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Finding the Fourth Proportional to 9,754.94, 13,456.34 and 5,979.93

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Solution

The fourth proportional to 9,754.94, 13,456.34 and 5,979.93 is: 8,248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.94 : 13,456.34 = 5,979.93 : x
  2. Step 2: Convert to fraction form
    9,754.94/13,456.34 = 5,979.93/x
  3. Step 3: Cross multiply
    9,754.94x = 13,456.34 × 5,979.93
  4. Step 4: Simplify right side
    9,754.94x = 80,467,971.26
  5. Step 5: Solve for x
    x = 80,467,971.26/9,754.94
  6. Step 6: Final answer
    x = 8,248.95

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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.