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Finding the Fourth Proportional to 9,950.14, 13,739.50 and 8,886.03

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Solution

The fourth proportional to 9,950.14, 13,739.50 and 8,886.03 is: 12,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.14 : 13,739.50 = 8,886.03 : x
  2. Step 2: Convert to fraction form
    9,950.14/13,739.50 = 8,886.03/x
  3. Step 3: Cross multiply
    9,950.14x = 13,739.50 × 8,886.03
  4. Step 4: Simplify right side
    9,950.14x = 122,089,609.19
  5. Step 5: Solve for x
    x = 122,089,609.19/9,950.14
  6. Step 6: Final answer
    x = 12,270.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.