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Finding the Fourth Proportional to 23,798.10, 35,697.60 and 8,000.21

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Solution

The fourth proportional to 23,798.10, 35,697.60 and 8,000.21 is: 12,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.10 : 35,697.60 = 8,000.21 : x
  2. Step 2: Convert to fraction form
    23,798.10/35,697.60 = 8,000.21/x
  3. Step 3: Cross multiply
    23,798.10x = 35,697.60 × 8,000.21
  4. Step 4: Simplify right side
    23,798.10x = 285,588,296.50
  5. Step 5: Solve for x
    x = 285,588,296.50/23,798.10
  6. Step 6: Final answer
    x = 12,000.47

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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.