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Finding the Fourth Proportional to 9,850.66, 13,597.82 and 6,077.43

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Solution

The fourth proportional to 9,850.66, 13,597.82 and 6,077.43 is: 8,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.66 : 13,597.82 = 6,077.43 : x
  2. Step 2: Convert to fraction form
    9,850.66/13,597.82 = 6,077.43/x
  3. Step 3: Cross multiply
    9,850.66x = 13,597.82 × 6,077.43
  4. Step 4: Simplify right side
    9,850.66x = 82,639,825.79
  5. Step 5: Solve for x
    x = 82,639,825.79/9,850.66
  6. Step 6: Final answer
    x = 8,389.27

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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.