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Finding the Fourth Proportional to 14,642.25, 20,206.31 and 7,927.88

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Solution

The fourth proportional to 14,642.25, 20,206.31 and 7,927.88 is: 10,940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.25 : 20,206.31 = 7,927.88 : x
  2. Step 2: Convert to fraction form
    14,642.25/20,206.31 = 7,927.88/x
  3. Step 3: Cross multiply
    14,642.25x = 20,206.31 × 7,927.88
  4. Step 4: Simplify right side
    14,642.25x = 160,193,099.89
  5. Step 5: Solve for x
    x = 160,193,099.89/14,642.25
  6. Step 6: Final answer
    x = 10,940.47

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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.