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Finding the Fourth Proportional to 15,749.50, 23,627.50 and 6,515.50

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Solution

The fourth proportional to 15,749.50, 23,627.50 and 6,515.50 is: 9,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.50 : 23,627.50 = 6,515.50 : x
  2. Step 2: Convert to fraction form
    15,749.50/23,627.50 = 6,515.50/x
  3. Step 3: Cross multiply
    15,749.50x = 23,627.50 × 6,515.50
  4. Step 4: Simplify right side
    15,749.50x = 153,944,976.25
  5. Step 5: Solve for x
    x = 153,944,976.25/15,749.50
  6. Step 6: Final answer
    x = 9,774.59

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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.