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Finding the Fourth Proportional to 7,787.67, 11,738.95 and 7,336.09

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Solution

The fourth proportional to 7,787.67, 11,738.95 and 7,336.09 is: 11,058.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.67 : 11,738.95 = 7,336.09 : x
  2. Step 2: Convert to fraction form
    7,787.67/11,738.95 = 7,336.09/x
  3. Step 3: Cross multiply
    7,787.67x = 11,738.95 × 7,336.09
  4. Step 4: Simplify right side
    7,787.67x = 86,117,993.71
  5. Step 5: Solve for x
    x = 86,117,993.71/7,787.67
  6. Step 6: Final answer
    x = 11,058.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.