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Finding the Fourth Proportional to 7,074.96, 9,765.72 and 4,282.80

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Solution

The fourth proportional to 7,074.96, 9,765.72 and 4,282.80 is: 5,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.96 : 9,765.72 = 4,282.80 : x
  2. Step 2: Convert to fraction form
    7,074.96/9,765.72 = 4,282.80/x
  3. Step 3: Cross multiply
    7,074.96x = 9,765.72 × 4,282.80
  4. Step 4: Simplify right side
    7,074.96x = 41,824,625.62
  5. Step 5: Solve for x
    x = 41,824,625.62/7,074.96
  6. Step 6: Final answer
    x = 5,911.64

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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.