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Finding the Fourth Proportional to 14,641.75, 20,205.64 and 7,927.44

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Solution

The fourth proportional to 14,641.75, 20,205.64 and 7,927.44 is: 10,939.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,641.75 : 20,205.64 = 7,927.44 : x
  2. Step 2: Convert to fraction form
    14,641.75/20,205.64 = 7,927.44/x
  3. Step 3: Cross multiply
    14,641.75x = 20,205.64 × 7,927.44
  4. Step 4: Simplify right side
    14,641.75x = 160,178,888.31
  5. Step 5: Solve for x
    x = 160,178,888.31/14,641.75
  6. Step 6: Final answer
    x = 10,939.88

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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.