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Finding the Fourth Proportional to 9,292, 13,942.78 and 6,174.16

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Solution

The fourth proportional to 9,292, 13,942.78 and 6,174.16 is: 9,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292 : 13,942.78 = 6,174.16 : x
  2. Step 2: Convert to fraction form
    9,292/13,942.78 = 6,174.16/x
  3. Step 3: Cross multiply
    9,292x = 13,942.78 × 6,174.16
  4. Step 4: Simplify right side
    9,292x = 86,084,954.56
  5. Step 5: Solve for x
    x = 86,084,954.56/9,292
  6. Step 6: Final answer
    x = 9,264.42

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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.