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Finding the Fourth Proportional to 14,642.11, 20,205.87 and 7,927.68

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Solution

The fourth proportional to 14,642.11, 20,205.87 and 7,927.68 is: 10,940.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.11 : 20,205.87 = 7,927.68 : x
  2. Step 2: Convert to fraction form
    14,642.11/20,205.87 = 7,927.68/x
  3. Step 3: Cross multiply
    14,642.11x = 20,205.87 × 7,927.68
  4. Step 4: Simplify right side
    14,642.11x = 160,185,671.48
  5. Step 5: Solve for x
    x = 160,185,671.48/14,642.11
  6. Step 6: Final answer
    x = 10,940.07

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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.