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Finding the Fourth Proportional to 12,497.31, 18,732.20 and 5,913.63

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Solution

The fourth proportional to 12,497.31, 18,732.20 and 5,913.63 is: 8,863.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.31 : 18,732.20 = 5,913.63 : x
  2. Step 2: Convert to fraction form
    12,497.31/18,732.20 = 5,913.63/x
  3. Step 3: Cross multiply
    12,497.31x = 18,732.20 × 5,913.63
  4. Step 4: Simplify right side
    12,497.31x = 110,775,270.32
  5. Step 5: Solve for x
    x = 110,775,270.32/12,497.31
  6. Step 6: Final answer
    x = 8,863.93

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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.