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Finding the Fourth Proportional to 7,999.97, 12,004 and 5,397.44

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Solution

The fourth proportional to 7,999.97, 12,004 and 5,397.44 is: 8,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.97 : 12,004 = 5,397.44 : x
  2. Step 2: Convert to fraction form
    7,999.97/12,004 = 5,397.44/x
  3. Step 3: Cross multiply
    7,999.97x = 12,004 × 5,397.44
  4. Step 4: Simplify right side
    7,999.97x = 64,790,869.76
  5. Step 5: Solve for x
    x = 64,790,869.76/7,999.97
  6. Step 6: Final answer
    x = 8,098.89

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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.