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Finding the Fourth Proportional to 7,142.04, 9,856.11 and 3,999.24

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Solution

The fourth proportional to 7,142.04, 9,856.11 and 3,999.24 is: 5,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.04 : 9,856.11 = 3,999.24 : x
  2. Step 2: Convert to fraction form
    7,142.04/9,856.11 = 3,999.24/x
  3. Step 3: Cross multiply
    7,142.04x = 9,856.11 × 3,999.24
  4. Step 4: Simplify right side
    7,142.04x = 39,416,949.36
  5. Step 5: Solve for x
    x = 39,416,949.36/7,142.04
  6. Step 6: Final answer
    x = 5,519.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.