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Finding the Fourth Proportional to 7,315.97, 10,096.07 and 3,958.80

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Solution

The fourth proportional to 7,315.97, 10,096.07 and 3,958.80 is: 5,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.97 : 10,096.07 = 3,958.80 : x
  2. Step 2: Convert to fraction form
    7,315.97/10,096.07 = 3,958.80/x
  3. Step 3: Cross multiply
    7,315.97x = 10,096.07 × 3,958.80
  4. Step 4: Simplify right side
    7,315.97x = 39,968,302.12
  5. Step 5: Solve for x
    x = 39,968,302.12/7,315.97
  6. Step 6: Final answer
    x = 5,463.16

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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.