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Finding the Fourth Proportional to 6,838.65, 9,432.54 and 4,922.82

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Solution

The fourth proportional to 6,838.65, 9,432.54 and 4,922.82 is: 6,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.65 : 9,432.54 = 4,922.82 : x
  2. Step 2: Convert to fraction form
    6,838.65/9,432.54 = 4,922.82/x
  3. Step 3: Cross multiply
    6,838.65x = 9,432.54 × 4,922.82
  4. Step 4: Simplify right side
    6,838.65x = 46,434,696.56
  5. Step 5: Solve for x
    x = 46,434,696.56/6,838.65
  6. Step 6: Final answer
    x = 6,790.04

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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.