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Finding the Fourth Proportional to 23,679.60, 35,520 and 8,097.12

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Solution

The fourth proportional to 23,679.60, 35,520 and 8,097.12 is: 12,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.60 : 35,520 = 8,097.12 : x
  2. Step 2: Convert to fraction form
    23,679.60/35,520 = 8,097.12/x
  3. Step 3: Cross multiply
    23,679.60x = 35,520 × 8,097.12
  4. Step 4: Simplify right side
    23,679.60x = 287,609,702.40
  5. Step 5: Solve for x
    x = 287,609,702.40/23,679.60
  6. Step 6: Final answer
    x = 12,145.89

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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.