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Finding the Fourth Proportional to 14,107.88, 19,468.68 and 7,820.12

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Solution

The fourth proportional to 14,107.88, 19,468.68 and 7,820.12 is: 10,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.88 : 19,468.68 = 7,820.12 : x
  2. Step 2: Convert to fraction form
    14,107.88/19,468.68 = 7,820.12/x
  3. Step 3: Cross multiply
    14,107.88x = 19,468.68 × 7,820.12
  4. Step 4: Simplify right side
    14,107.88x = 152,247,413.84
  5. Step 5: Solve for x
    x = 152,247,413.84/14,107.88
  6. Step 6: Final answer
    x = 10,791.66

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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.