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Finding the Fourth Proportional to 28,819, 43,228.50 and 6,931

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Solution

The fourth proportional to 28,819, 43,228.50 and 6,931 is: 10,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,819 : 43,228.50 = 6,931 : x
  2. Step 2: Convert to fraction form
    28,819/43,228.50 = 6,931/x
  3. Step 3: Cross multiply
    28,819x = 43,228.50 × 6,931
  4. Step 4: Simplify right side
    28,819x = 299,616,733.50
  5. Step 5: Solve for x
    x = 299,616,733.50/28,819
  6. Step 6: Final answer
    x = 10,396.50

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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.