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Finding the Fourth Proportional to 11,983.04, 16,535.40 and 7,267.04

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Solution

The fourth proportional to 11,983.04, 16,535.40 and 7,267.04 is: 10,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,983.04 : 16,535.40 = 7,267.04 : x
  2. Step 2: Convert to fraction form
    11,983.04/16,535.40 = 7,267.04/x
  3. Step 3: Cross multiply
    11,983.04x = 16,535.40 × 7,267.04
  4. Step 4: Simplify right side
    11,983.04x = 120,163,413.22
  5. Step 5: Solve for x
    x = 120,163,413.22/11,983.04
  6. Step 6: Final answer
    x = 10,027.79

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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.