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Finding the Fourth Proportional to 11,653.35, 16,087.46 and 7,408.68

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Solution

The fourth proportional to 11,653.35, 16,087.46 and 7,408.68 is: 10,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.35 : 16,087.46 = 7,408.68 : x
  2. Step 2: Convert to fraction form
    11,653.35/16,087.46 = 7,408.68/x
  3. Step 3: Cross multiply
    11,653.35x = 16,087.46 × 7,408.68
  4. Step 4: Simplify right side
    11,653.35x = 119,186,806.11
  5. Step 5: Solve for x
    x = 119,186,806.11/11,653.35
  6. Step 6: Final answer
    x = 10,227.69

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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.