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Finding the Fourth Proportional to 6,304.42, 9,450.25 and 3,019.77

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Solution

The fourth proportional to 6,304.42, 9,450.25 and 3,019.77 is: 4,526.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.42 : 9,450.25 = 3,019.77 : x
  2. Step 2: Convert to fraction form
    6,304.42/9,450.25 = 3,019.77/x
  3. Step 3: Cross multiply
    6,304.42x = 9,450.25 × 3,019.77
  4. Step 4: Simplify right side
    6,304.42x = 28,537,581.44
  5. Step 5: Solve for x
    x = 28,537,581.44/6,304.42
  6. Step 6: Final answer
    x = 4,526.60

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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.