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Finding the Fourth Proportional to 14,285.44, 19,713.60 and 7,912

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Solution

The fourth proportional to 14,285.44, 19,713.60 and 7,912 is: 10,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285.44 : 19,713.60 = 7,912 : x
  2. Step 2: Convert to fraction form
    14,285.44/19,713.60 = 7,912/x
  3. Step 3: Cross multiply
    14,285.44x = 19,713.60 × 7,912
  4. Step 4: Simplify right side
    14,285.44x = 155,974,003.20
  5. Step 5: Solve for x
    x = 155,974,003.20/14,285.44
  6. Step 6: Final answer
    x = 10,918.39

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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.