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Finding the Fourth Proportional to 11,734.90, 16,194.18 and 7,019.18

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Solution

The fourth proportional to 11,734.90, 16,194.18 and 7,019.18 is: 9,686.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.90 : 16,194.18 = 7,019.18 : x
  2. Step 2: Convert to fraction form
    11,734.90/16,194.18 = 7,019.18/x
  3. Step 3: Cross multiply
    11,734.90x = 16,194.18 × 7,019.18
  4. Step 4: Simplify right side
    11,734.90x = 113,669,864.37
  5. Step 5: Solve for x
    x = 113,669,864.37/11,734.90
  6. Step 6: Final answer
    x = 9,686.48

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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.