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Finding the Fourth Proportional to 9,853.78, 13,602.27 and 7,960.78

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Solution

The fourth proportional to 9,853.78, 13,602.27 and 7,960.78 is: 10,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.78 : 13,602.27 = 7,960.78 : x
  2. Step 2: Convert to fraction form
    9,853.78/13,602.27 = 7,960.78/x
  3. Step 3: Cross multiply
    9,853.78x = 13,602.27 × 7,960.78
  4. Step 4: Simplify right side
    9,853.78x = 108,284,678.97
  5. Step 5: Solve for x
    x = 108,284,678.97/9,853.78
  6. Step 6: Final answer
    x = 10,989.15

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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.