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Finding the Fourth Proportional to 7,836.65, 10,812.97 and 4,648.54

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Solution

The fourth proportional to 7,836.65, 10,812.97 and 4,648.54 is: 6,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.65 : 10,812.97 = 4,648.54 : x
  2. Step 2: Convert to fraction form
    7,836.65/10,812.97 = 4,648.54/x
  3. Step 3: Cross multiply
    7,836.65x = 10,812.97 × 4,648.54
  4. Step 4: Simplify right side
    7,836.65x = 50,264,523.56
  5. Step 5: Solve for x
    x = 50,264,523.56/7,836.65
  6. Step 6: Final answer
    x = 6,414.04

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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.