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Finding the Fourth Proportional to 4,493.44, 6,740.16 and 1,415.44

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Solution

The fourth proportional to 4,493.44, 6,740.16 and 1,415.44 is: 2,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.44 : 6,740.16 = 1,415.44 : x
  2. Step 2: Convert to fraction form
    4,493.44/6,740.16 = 1,415.44/x
  3. Step 3: Cross multiply
    4,493.44x = 6,740.16 × 1,415.44
  4. Step 4: Simplify right side
    4,493.44x = 9,540,292.07
  5. Step 5: Solve for x
    x = 9,540,292.07/4,493.44
  6. Step 6: Final answer
    x = 2,123.16

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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.