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Finding the Fourth Proportional to 11,209.60, 16,827.20 and 6,595.20

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Solution

The fourth proportional to 11,209.60, 16,827.20 and 6,595.20 is: 9,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.60 : 16,827.20 = 6,595.20 : x
  2. Step 2: Convert to fraction form
    11,209.60/16,827.20 = 6,595.20/x
  3. Step 3: Cross multiply
    11,209.60x = 16,827.20 × 6,595.20
  4. Step 4: Simplify right side
    11,209.60x = 110,978,749.44
  5. Step 5: Solve for x
    x = 110,978,749.44/11,209.60
  6. Step 6: Final answer
    x = 9,900.33

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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.