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Finding the Fourth Proportional to 28,697, 43,045.50 and 9,241

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Solution

The fourth proportional to 28,697, 43,045.50 and 9,241 is: 13,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,697 : 43,045.50 = 9,241 : x
  2. Step 2: Convert to fraction form
    28,697/43,045.50 = 9,241/x
  3. Step 3: Cross multiply
    28,697x = 43,045.50 × 9,241
  4. Step 4: Simplify right side
    28,697x = 397,783,465.50
  5. Step 5: Solve for x
    x = 397,783,465.50/28,697
  6. Step 6: Final answer
    x = 13,861.50

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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.