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Finding the Fourth Proportional to 9,954.90, 14,912.10 and 7,984.98

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Solution

The fourth proportional to 9,954.90, 14,912.10 and 7,984.98 is: 11,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.90 : 14,912.10 = 7,984.98 : x
  2. Step 2: Convert to fraction form
    9,954.90/14,912.10 = 7,984.98/x
  3. Step 3: Cross multiply
    9,954.90x = 14,912.10 × 7,984.98
  4. Step 4: Simplify right side
    9,954.90x = 119,072,820.26
  5. Step 5: Solve for x
    x = 119,072,820.26/9,954.90
  6. Step 6: Final answer
    x = 11,961.23

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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.