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Finding the Fourth Proportional to 13,122.54, 19,683.64 and 7,859.02

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Solution

The fourth proportional to 13,122.54, 19,683.64 and 7,859.02 is: 11,788.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122.54 : 19,683.64 = 7,859.02 : x
  2. Step 2: Convert to fraction form
    13,122.54/19,683.64 = 7,859.02/x
  3. Step 3: Cross multiply
    13,122.54x = 19,683.64 × 7,859.02
  4. Step 4: Simplify right side
    13,122.54x = 154,694,120.43
  5. Step 5: Solve for x
    x = 154,694,120.43/13,122.54
  6. Step 6: Final answer
    x = 11,788.43

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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.