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Finding the Fourth Proportional to 7,999.90, 11,999.82 and 6,154.30

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Solution

The fourth proportional to 7,999.90, 11,999.82 and 6,154.30 is: 9,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.90 : 11,999.82 = 6,154.30 : x
  2. Step 2: Convert to fraction form
    7,999.90/11,999.82 = 6,154.30/x
  3. Step 3: Cross multiply
    7,999.90x = 11,999.82 × 6,154.30
  4. Step 4: Simplify right side
    7,999.90x = 73,850,492.23
  5. Step 5: Solve for x
    x = 73,850,492.23/7,999.90
  6. Step 6: Final answer
    x = 9,231.43

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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.