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Finding the Fourth Proportional to 16,000.10, 23,998.04 and 4,755.20

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Solution

The fourth proportional to 16,000.10, 23,998.04 and 4,755.20 is: 7,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.10 : 23,998.04 = 4,755.20 : x
  2. Step 2: Convert to fraction form
    16,000.10/23,998.04 = 4,755.20/x
  3. Step 3: Cross multiply
    16,000.10x = 23,998.04 × 4,755.20
  4. Step 4: Simplify right side
    16,000.10x = 114,115,421.37
  5. Step 5: Solve for x
    x = 114,115,421.37/16,000.10
  6. Step 6: Final answer
    x = 7,132.17

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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.