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Finding the Fourth Proportional to 15,782.21, 21,779.34 and 8,612.12

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Solution

The fourth proportional to 15,782.21, 21,779.34 and 8,612.12 is: 11,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.21 : 21,779.34 = 8,612.12 : x
  2. Step 2: Convert to fraction form
    15,782.21/21,779.34 = 8,612.12/x
  3. Step 3: Cross multiply
    15,782.21x = 21,779.34 × 8,612.12
  4. Step 4: Simplify right side
    15,782.21x = 187,566,289.60
  5. Step 5: Solve for x
    x = 187,566,289.60/15,782.21
  6. Step 6: Final answer
    x = 11,884.67

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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.