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Finding the Fourth Proportional to 11,760.82, 16,230 and 6,455.68

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Solution

The fourth proportional to 11,760.82, 16,230 and 6,455.68 is: 8,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.82 : 16,230 = 6,455.68 : x
  2. Step 2: Convert to fraction form
    11,760.82/16,230 = 6,455.68/x
  3. Step 3: Cross multiply
    11,760.82x = 16,230 × 6,455.68
  4. Step 4: Simplify right side
    11,760.82x = 104,775,686.40
  5. Step 5: Solve for x
    x = 104,775,686.40/11,760.82
  6. Step 6: Final answer
    x = 8,908.88

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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.