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Finding the Fourth Proportional to 12,152.98, 18,222.99 and 6,295.06

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Solution

The fourth proportional to 12,152.98, 18,222.99 and 6,295.06 is: 9,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.98 : 18,222.99 = 6,295.06 : x
  2. Step 2: Convert to fraction form
    12,152.98/18,222.99 = 6,295.06/x
  3. Step 3: Cross multiply
    12,152.98x = 18,222.99 × 6,295.06
  4. Step 4: Simplify right side
    12,152.98x = 114,714,815.43
  5. Step 5: Solve for x
    x = 114,714,815.43/12,152.98
  6. Step 6: Final answer
    x = 9,439.23

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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.