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Finding the Fourth Proportional to 7,843.46, 10,824.31 and 4,658.64

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Solution

The fourth proportional to 7,843.46, 10,824.31 and 4,658.64 is: 6,429.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.46 : 10,824.31 = 4,658.64 : x
  2. Step 2: Convert to fraction form
    7,843.46/10,824.31 = 4,658.64/x
  3. Step 3: Cross multiply
    7,843.46x = 10,824.31 × 4,658.64
  4. Step 4: Simplify right side
    7,843.46x = 50,426,563.54
  5. Step 5: Solve for x
    x = 50,426,563.54/7,843.46
  6. Step 6: Final answer
    x = 6,429.12

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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.