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Finding the Fourth Proportional to 24,420.31, 36,628.44 and 7,779.67

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Solution

The fourth proportional to 24,420.31, 36,628.44 and 7,779.67 is: 11,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420.31 : 36,628.44 = 7,779.67 : x
  2. Step 2: Convert to fraction form
    24,420.31/36,628.44 = 7,779.67/x
  3. Step 3: Cross multiply
    24,420.31x = 36,628.44 × 7,779.67
  4. Step 4: Simplify right side
    24,420.31x = 284,957,175.81
  5. Step 5: Solve for x
    x = 284,957,175.81/24,420.31
  6. Step 6: Final answer
    x = 11,668.86

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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.