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Finding the Fourth Proportional to 9,792.90, 13,527.20 and 7,694.90

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Solution

The fourth proportional to 9,792.90, 13,527.20 and 7,694.90 is: 10,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.90 : 13,527.20 = 7,694.90 : x
  2. Step 2: Convert to fraction form
    9,792.90/13,527.20 = 7,694.90/x
  3. Step 3: Cross multiply
    9,792.90x = 13,527.20 × 7,694.90
  4. Step 4: Simplify right side
    9,792.90x = 104,090,453.61
  5. Step 5: Solve for x
    x = 104,090,453.61/9,792.90
  6. Step 6: Final answer
    x = 10,629.18

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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.