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Finding the Fourth Proportional to 11,793.50, 16,275.04 and 6,825.50

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Solution

The fourth proportional to 11,793.50, 16,275.04 and 6,825.50 is: 9,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.50 : 16,275.04 = 6,825.50 : x
  2. Step 2: Convert to fraction form
    11,793.50/16,275.04 = 6,825.50/x
  3. Step 3: Cross multiply
    11,793.50x = 16,275.04 × 6,825.50
  4. Step 4: Simplify right side
    11,793.50x = 111,085,285.52
  5. Step 5: Solve for x
    x = 111,085,285.52/11,793.50
  6. Step 6: Final answer
    x = 9,419.20

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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.