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Finding the Fourth Proportional to 9,960.54, 13,746.20 and 5,768.79

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Solution

The fourth proportional to 9,960.54, 13,746.20 and 5,768.79 is: 7,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.54 : 13,746.20 = 5,768.79 : x
  2. Step 2: Convert to fraction form
    9,960.54/13,746.20 = 5,768.79/x
  3. Step 3: Cross multiply
    9,960.54x = 13,746.20 × 5,768.79
  4. Step 4: Simplify right side
    9,960.54x = 79,298,843.52
  5. Step 5: Solve for x
    x = 79,298,843.52/9,960.54
  6. Step 6: Final answer
    x = 7,961.30

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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.