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Finding the Fourth Proportional to 28,853, 43,279.50 and 6,965

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Solution

The fourth proportional to 28,853, 43,279.50 and 6,965 is: 10,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,853 : 43,279.50 = 6,965 : x
  2. Step 2: Convert to fraction form
    28,853/43,279.50 = 6,965/x
  3. Step 3: Cross multiply
    28,853x = 43,279.50 × 6,965
  4. Step 4: Simplify right side
    28,853x = 301,441,717.50
  5. Step 5: Solve for x
    x = 301,441,717.50/28,853
  6. Step 6: Final answer
    x = 10,447.50

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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.