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Finding the Fourth Proportional to 13,297.70, 19,944.39 and 6,277.70

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Solution

The fourth proportional to 13,297.70, 19,944.39 and 6,277.70 is: 9,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.70 : 19,944.39 = 6,277.70 : x
  2. Step 2: Convert to fraction form
    13,297.70/19,944.39 = 6,277.70/x
  3. Step 3: Cross multiply
    13,297.70x = 19,944.39 × 6,277.70
  4. Step 4: Simplify right side
    13,297.70x = 125,204,970.51
  5. Step 5: Solve for x
    x = 125,204,970.51/13,297.70
  6. Step 6: Final answer
    x = 9,415.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.