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Finding the Fourth Proportional to 4,322.46, 6,476.46 and 4,160.46

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Solution

The fourth proportional to 4,322.46, 6,476.46 and 4,160.46 is: 6,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.46 : 6,476.46 = 4,160.46 : x
  2. Step 2: Convert to fraction form
    4,322.46/6,476.46 = 4,160.46/x
  3. Step 3: Cross multiply
    4,322.46x = 6,476.46 × 4,160.46
  4. Step 4: Simplify right side
    4,322.46x = 26,945,052.77
  5. Step 5: Solve for x
    x = 26,945,052.77/4,322.46
  6. Step 6: Final answer
    x = 6,233.73

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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.