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Finding the Fourth Proportional to 7,074.48, 9,762.84 and 3,930.72

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Solution

The fourth proportional to 7,074.48, 9,762.84 and 3,930.72 is: 5,424.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.48 : 9,762.84 = 3,930.72 : x
  2. Step 2: Convert to fraction form
    7,074.48/9,762.84 = 3,930.72/x
  3. Step 3: Cross multiply
    7,074.48x = 9,762.84 × 3,930.72
  4. Step 4: Simplify right side
    7,074.48x = 38,374,990.44
  5. Step 5: Solve for x
    x = 38,374,990.44/7,074.48
  6. Step 6: Final answer
    x = 5,424.43

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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.