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Finding the Fourth Proportional to 13,993.65, 19,310.54 and 7,705.89

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Solution

The fourth proportional to 13,993.65, 19,310.54 and 7,705.89 is: 10,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,993.65 : 19,310.54 = 7,705.89 : x
  2. Step 2: Convert to fraction form
    13,993.65/19,310.54 = 7,705.89/x
  3. Step 3: Cross multiply
    13,993.65x = 19,310.54 × 7,705.89
  4. Step 4: Simplify right side
    13,993.65x = 148,804,858.55
  5. Step 5: Solve for x
    x = 148,804,858.55/13,993.65
  6. Step 6: Final answer
    x = 10,633.74

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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.