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Finding the Fourth Proportional to 13,074.66, 19,683.13 and 11,912.13

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Solution

The fourth proportional to 13,074.66, 19,683.13 and 11,912.13 is: 17,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.66 : 19,683.13 = 11,912.13 : x
  2. Step 2: Convert to fraction form
    13,074.66/19,683.13 = 11,912.13/x
  3. Step 3: Cross multiply
    13,074.66x = 19,683.13 × 11,912.13
  4. Step 4: Simplify right side
    13,074.66x = 234,467,973.59
  5. Step 5: Solve for x
    x = 234,467,973.59/13,074.66
  6. Step 6: Final answer
    x = 17,933.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.