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Finding the Fourth Proportional to 9,196.52, 13,797.90 and 4,005.80

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Solution

The fourth proportional to 9,196.52, 13,797.90 and 4,005.80 is: 6,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.52 : 13,797.90 = 4,005.80 : x
  2. Step 2: Convert to fraction form
    9,196.52/13,797.90 = 4,005.80/x
  3. Step 3: Cross multiply
    9,196.52x = 13,797.90 × 4,005.80
  4. Step 4: Simplify right side
    9,196.52x = 55,271,627.82
  5. Step 5: Solve for x
    x = 55,271,627.82/9,196.52
  6. Step 6: Final answer
    x = 6,010.06

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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.