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Finding the Fourth Proportional to 12,293.10, 18,444.06 and 6,367.14

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Solution

The fourth proportional to 12,293.10, 18,444.06 and 6,367.14 is: 9,552.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.10 : 18,444.06 = 6,367.14 : x
  2. Step 2: Convert to fraction form
    12,293.10/18,444.06 = 6,367.14/x
  3. Step 3: Cross multiply
    12,293.10x = 18,444.06 × 6,367.14
  4. Step 4: Simplify right side
    12,293.10x = 117,435,912.19
  5. Step 5: Solve for x
    x = 117,435,912.19/12,293.10
  6. Step 6: Final answer
    x = 9,552.99

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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.