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Finding the Fourth Proportional to 9,663.56, 14,497.74 and 2,738.12

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Solution

The fourth proportional to 9,663.56, 14,497.74 and 2,738.12 is: 4,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.56 : 14,497.74 = 2,738.12 : x
  2. Step 2: Convert to fraction form
    9,663.56/14,497.74 = 2,738.12/x
  3. Step 3: Cross multiply
    9,663.56x = 14,497.74 × 2,738.12
  4. Step 4: Simplify right side
    9,663.56x = 39,696,551.85
  5. Step 5: Solve for x
    x = 39,696,551.85/9,663.56
  6. Step 6: Final answer
    x = 4,107.86

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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.