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Finding the Fourth Proportional to 9,149.46, 13,724.16 and 3,304.68

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Solution

The fourth proportional to 9,149.46, 13,724.16 and 3,304.68 is: 4,957.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.46 : 13,724.16 = 3,304.68 : x
  2. Step 2: Convert to fraction form
    9,149.46/13,724.16 = 3,304.68/x
  3. Step 3: Cross multiply
    9,149.46x = 13,724.16 × 3,304.68
  4. Step 4: Simplify right side
    9,149.46x = 45,353,957.07
  5. Step 5: Solve for x
    x = 45,353,957.07/9,149.46
  6. Step 6: Final answer
    x = 4,957.01

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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.