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Finding the Fourth Proportional to 9,790.78, 13,518.29 and 6,019

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Solution

The fourth proportional to 9,790.78, 13,518.29 and 6,019 is: 8,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.78 : 13,518.29 = 6,019 : x
  2. Step 2: Convert to fraction form
    9,790.78/13,518.29 = 6,019/x
  3. Step 3: Cross multiply
    9,790.78x = 13,518.29 × 6,019
  4. Step 4: Simplify right side
    9,790.78x = 81,366,602.56
  5. Step 5: Solve for x
    x = 81,366,602.56/9,790.78
  6. Step 6: Final answer
    x = 8,310.54

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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.