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Finding the Fourth Proportional to 13,804.88, 19,050.14 and 7,836.44

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Solution

The fourth proportional to 13,804.88, 19,050.14 and 7,836.44 is: 10,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.88 : 19,050.14 = 7,836.44 : x
  2. Step 2: Convert to fraction form
    13,804.88/19,050.14 = 7,836.44/x
  3. Step 3: Cross multiply
    13,804.88x = 19,050.14 × 7,836.44
  4. Step 4: Simplify right side
    13,804.88x = 149,285,279.10
  5. Step 5: Solve for x
    x = 149,285,279.10/13,804.88
  6. Step 6: Final answer
    x = 10,813.95

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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.