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Finding the Fourth Proportional to 13,073.56, 19,611.40 and 7,844.30

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Solution

The fourth proportional to 13,073.56, 19,611.40 and 7,844.30 is: 11,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.56 : 19,611.40 = 7,844.30 : x
  2. Step 2: Convert to fraction form
    13,073.56/19,611.40 = 7,844.30/x
  3. Step 3: Cross multiply
    13,073.56x = 19,611.40 × 7,844.30
  4. Step 4: Simplify right side
    13,073.56x = 153,837,705.02
  5. Step 5: Solve for x
    x = 153,837,705.02/13,073.56
  6. Step 6: Final answer
    x = 11,767.09

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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.