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Finding the Fourth Proportional to 7,778.54, 11,667.71 and 1,935.20

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Solution

The fourth proportional to 7,778.54, 11,667.71 and 1,935.20 is: 2,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.54 : 11,667.71 = 1,935.20 : x
  2. Step 2: Convert to fraction form
    7,778.54/11,667.71 = 1,935.20/x
  3. Step 3: Cross multiply
    7,778.54x = 11,667.71 × 1,935.20
  4. Step 4: Simplify right side
    7,778.54x = 22,579,284.38
  5. Step 5: Solve for x
    x = 22,579,284.38/7,778.54
  6. Step 6: Final answer
    x = 2,902.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.