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Finding the Fourth Proportional to 9,950.70, 14,922.72 and 4,026.06

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Solution

The fourth proportional to 9,950.70, 14,922.72 and 4,026.06 is: 6,037.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.70 : 14,922.72 = 4,026.06 : x
  2. Step 2: Convert to fraction form
    9,950.70/14,922.72 = 4,026.06/x
  3. Step 3: Cross multiply
    9,950.70x = 14,922.72 × 4,026.06
  4. Step 4: Simplify right side
    9,950.70x = 60,079,766.08
  5. Step 5: Solve for x
    x = 60,079,766.08/9,950.70
  6. Step 6: Final answer
    x = 6,037.74

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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.