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Finding the Fourth Proportional to 18,493.46, 27,740.22 and 4,642.46

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Solution

The fourth proportional to 18,493.46, 27,740.22 and 4,642.46 is: 6,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,493.46 : 27,740.22 = 4,642.46 : x
  2. Step 2: Convert to fraction form
    18,493.46/27,740.22 = 4,642.46/x
  3. Step 3: Cross multiply
    18,493.46x = 27,740.22 × 4,642.46
  4. Step 4: Simplify right side
    18,493.46x = 128,782,861.74
  5. Step 5: Solve for x
    x = 128,782,861.74/18,493.46
  6. Step 6: Final answer
    x = 6,963.70

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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.