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Finding the Fourth Proportional to 9,823.75, 14,735.76 and 5,449.75

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Solution

The fourth proportional to 9,823.75, 14,735.76 and 5,449.75 is: 8,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.75 : 14,735.76 = 5,449.75 : x
  2. Step 2: Convert to fraction form
    9,823.75/14,735.76 = 5,449.75/x
  3. Step 3: Cross multiply
    9,823.75x = 14,735.76 × 5,449.75
  4. Step 4: Simplify right side
    9,823.75x = 80,306,208.06
  5. Step 5: Solve for x
    x = 80,306,208.06/9,823.75
  6. Step 6: Final answer
    x = 8,174.70

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1.5x scale

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.