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Finding the Fourth Proportional to 12,394.08, 18,576 and 9,484.56

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Solution

The fourth proportional to 12,394.08, 18,576 and 9,484.56 is: 14,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.08 : 18,576 = 9,484.56 : x
  2. Step 2: Convert to fraction form
    12,394.08/18,576 = 9,484.56/x
  3. Step 3: Cross multiply
    12,394.08x = 18,576 × 9,484.56
  4. Step 4: Simplify right side
    12,394.08x = 176,185,186.56
  5. Step 5: Solve for x
    x = 176,185,186.56/12,394.08
  6. Step 6: Final answer
    x = 14,215.27

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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.