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Finding the Fourth Proportional to 4,902.48, 7,352.93 and 4,074.85

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Solution

The fourth proportional to 4,902.48, 7,352.93 and 4,074.85 is: 6,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.48 : 7,352.93 = 4,074.85 : x
  2. Step 2: Convert to fraction form
    4,902.48/7,352.93 = 4,074.85/x
  3. Step 3: Cross multiply
    4,902.48x = 7,352.93 × 4,074.85
  4. Step 4: Simplify right side
    4,902.48x = 29,962,086.81
  5. Step 5: Solve for x
    x = 29,962,086.81/4,902.48
  6. Step 6: Final answer
    x = 6,111.62

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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.