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Finding the Fourth Proportional to 4,950.48, 6,828.24 and 3,375.84

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Solution

The fourth proportional to 4,950.48, 6,828.24 and 3,375.84 is: 4,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.48 : 6,828.24 = 3,375.84 : x
  2. Step 2: Convert to fraction form
    4,950.48/6,828.24 = 3,375.84/x
  3. Step 3: Cross multiply
    4,950.48x = 6,828.24 × 3,375.84
  4. Step 4: Simplify right side
    4,950.48x = 23,051,045.72
  5. Step 5: Solve for x
    x = 23,051,045.72/4,950.48
  6. Step 6: Final answer
    x = 4,656.33

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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.