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Finding the Fourth Proportional to 24,609.60, 36,919.72 and 7,971.30

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Solution

The fourth proportional to 24,609.60, 36,919.72 and 7,971.30 is: 11,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.60 : 36,919.72 = 7,971.30 : x
  2. Step 2: Convert to fraction form
    24,609.60/36,919.72 = 7,971.30/x
  3. Step 3: Cross multiply
    24,609.60x = 36,919.72 × 7,971.30
  4. Step 4: Simplify right side
    24,609.60x = 294,298,164.04
  5. Step 5: Solve for x
    x = 294,298,164.04/24,609.60
  6. Step 6: Final answer
    x = 11,958.67

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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.