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Finding the Fourth Proportional to 23,164.62, 34,742.76 and 6,520.68

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Solution

The fourth proportional to 23,164.62, 34,742.76 and 6,520.68 is: 9,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.62 : 34,742.76 = 6,520.68 : x
  2. Step 2: Convert to fraction form
    23,164.62/34,742.76 = 6,520.68/x
  3. Step 3: Cross multiply
    23,164.62x = 34,742.76 × 6,520.68
  4. Step 4: Simplify right side
    23,164.62x = 226,546,420.28
  5. Step 5: Solve for x
    x = 226,546,420.28/23,164.62
  6. Step 6: Final answer
    x = 9,779.85

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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.