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Finding the Fourth Proportional to 9,251.94, 12,768.39 and 7,658.13

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Solution

The fourth proportional to 9,251.94, 12,768.39 and 7,658.13 is: 10,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.94 : 12,768.39 = 7,658.13 : x
  2. Step 2: Convert to fraction form
    9,251.94/12,768.39 = 7,658.13/x
  3. Step 3: Cross multiply
    9,251.94x = 12,768.39 × 7,658.13
  4. Step 4: Simplify right side
    9,251.94x = 97,781,990.51
  5. Step 5: Solve for x
    x = 97,781,990.51/9,251.94
  6. Step 6: Final answer
    x = 10,568.81

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Double scale
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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.