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Finding the Fourth Proportional to 9,902.44, 14,792.09 and 7,958.44

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Solution

The fourth proportional to 9,902.44, 14,792.09 and 7,958.44 is: 11,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.44 : 14,792.09 = 7,958.44 : x
  2. Step 2: Convert to fraction form
    9,902.44/14,792.09 = 7,958.44/x
  3. Step 3: Cross multiply
    9,902.44x = 14,792.09 × 7,958.44
  4. Step 4: Simplify right side
    9,902.44x = 117,721,960.74
  5. Step 5: Solve for x
    x = 117,721,960.74/9,902.44
  6. Step 6: Final answer
    x = 11,888.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.