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Finding the Fourth Proportional to 9,855.14, 13,599.99 and 6,076.79

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Solution

The fourth proportional to 9,855.14, 13,599.99 and 6,076.79 is: 8,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.14 : 13,599.99 = 6,076.79 : x
  2. Step 2: Convert to fraction form
    9,855.14/13,599.99 = 6,076.79/x
  3. Step 3: Cross multiply
    9,855.14x = 13,599.99 × 6,076.79
  4. Step 4: Simplify right side
    9,855.14x = 82,644,215.23
  5. Step 5: Solve for x
    x = 82,644,215.23/9,855.14
  6. Step 6: Final answer
    x = 8,385.90

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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.