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Finding the Fourth Proportional to 9,965.31, 13,758.74 and 6,194.10

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Solution

The fourth proportional to 9,965.31, 13,758.74 and 6,194.10 is: 8,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.31 : 13,758.74 = 6,194.10 : x
  2. Step 2: Convert to fraction form
    9,965.31/13,758.74 = 6,194.10/x
  3. Step 3: Cross multiply
    9,965.31x = 13,758.74 × 6,194.10
  4. Step 4: Simplify right side
    9,965.31x = 85,223,011.43
  5. Step 5: Solve for x
    x = 85,223,011.43/9,965.31
  6. Step 6: Final answer
    x = 8,551.97

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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.