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Finding the Fourth Proportional to 7,954.10, 11,943.30 and 6,107.30

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Solution

The fourth proportional to 7,954.10, 11,943.30 and 6,107.30 is: 9,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.10 : 11,943.30 = 6,107.30 : x
  2. Step 2: Convert to fraction form
    7,954.10/11,943.30 = 6,107.30/x
  3. Step 3: Cross multiply
    7,954.10x = 11,943.30 × 6,107.30
  4. Step 4: Simplify right side
    7,954.10x = 72,941,316.09
  5. Step 5: Solve for x
    x = 72,941,316.09/7,954.10
  6. Step 6: Final answer
    x = 9,170.28

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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.