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Finding the Fourth Proportional to 11,775.96, 17,664.48 and 8,328.60

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Solution

The fourth proportional to 11,775.96, 17,664.48 and 8,328.60 is: 12,493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.96 : 17,664.48 = 8,328.60 : x
  2. Step 2: Convert to fraction form
    11,775.96/17,664.48 = 8,328.60/x
  3. Step 3: Cross multiply
    11,775.96x = 17,664.48 × 8,328.60
  4. Step 4: Simplify right side
    11,775.96x = 147,120,388.13
  5. Step 5: Solve for x
    x = 147,120,388.13/11,775.96
  6. Step 6: Final answer
    x = 12,493.28

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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.