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Finding the Fourth Proportional to 13,993.93, 19,311.87 and 7,706.29

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Solution

The fourth proportional to 13,993.93, 19,311.87 and 7,706.29 is: 10,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.93 : 19,311.87 = 7,706.29 : x
  2. Step 2: Convert to fraction form
    13,993.93/19,311.87 = 7,706.29/x
  3. Step 3: Cross multiply
    13,993.93x = 19,311.87 × 7,706.29
  4. Step 4: Simplify right side
    13,993.93x = 148,822,870.66
  5. Step 5: Solve for x
    x = 148,822,870.66/13,993.93
  6. Step 6: Final answer
    x = 10,634.82

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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.