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Finding the Fourth Proportional to 10,431.73, 15,642.73 and 6,050.44

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Solution

The fourth proportional to 10,431.73, 15,642.73 and 6,050.44 is: 9,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.73 : 15,642.73 = 6,050.44 : x
  2. Step 2: Convert to fraction form
    10,431.73/15,642.73 = 6,050.44/x
  3. Step 3: Cross multiply
    10,431.73x = 15,642.73 × 6,050.44
  4. Step 4: Simplify right side
    10,431.73x = 94,645,399.30
  5. Step 5: Solve for x
    x = 94,645,399.30/10,431.73
  6. Step 6: Final answer
    x = 9,072.84

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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.