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Finding the Fourth Proportional to 7,999.02, 11,996.10 and 4,102.92

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Solution

The fourth proportional to 7,999.02, 11,996.10 and 4,102.92 is: 6,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.02 : 11,996.10 = 4,102.92 : x
  2. Step 2: Convert to fraction form
    7,999.02/11,996.10 = 4,102.92/x
  3. Step 3: Cross multiply
    7,999.02x = 11,996.10 × 4,102.92
  4. Step 4: Simplify right side
    7,999.02x = 49,219,038.61
  5. Step 5: Solve for x
    x = 49,219,038.61/7,999.02
  6. Step 6: Final answer
    x = 6,153.13

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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.