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Finding the Fourth Proportional to 9,842.54, 14,765.72 and 3,180.83

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Solution

The fourth proportional to 9,842.54, 14,765.72 and 3,180.83 is: 4,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.54 : 14,765.72 = 3,180.83 : x
  2. Step 2: Convert to fraction form
    9,842.54/14,765.72 = 3,180.83/x
  3. Step 3: Cross multiply
    9,842.54x = 14,765.72 × 3,180.83
  4. Step 4: Simplify right side
    9,842.54x = 46,967,266.16
  5. Step 5: Solve for x
    x = 46,967,266.16/9,842.54
  6. Step 6: Final answer
    x = 4,771.86

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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.