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Finding the Fourth Proportional to 4,922.76, 7,384.12 and 4,798.82

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Solution

The fourth proportional to 4,922.76, 7,384.12 and 4,798.82 is: 7,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.76 : 7,384.12 = 4,798.82 : x
  2. Step 2: Convert to fraction form
    4,922.76/7,384.12 = 4,798.82/x
  3. Step 3: Cross multiply
    4,922.76x = 7,384.12 × 4,798.82
  4. Step 4: Simplify right side
    4,922.76x = 35,435,062.74
  5. Step 5: Solve for x
    x = 35,435,062.74/4,922.76
  6. Step 6: Final answer
    x = 7,198.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.