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Finding the Fourth Proportional to 4,961.24, 7,415.14 and 4,331.54

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Solution

The fourth proportional to 4,961.24, 7,415.14 and 4,331.54 is: 6,473.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.24 : 7,415.14 = 4,331.54 : x
  2. Step 2: Convert to fraction form
    4,961.24/7,415.14 = 4,331.54/x
  3. Step 3: Cross multiply
    4,961.24x = 7,415.14 × 4,331.54
  4. Step 4: Simplify right side
    4,961.24x = 32,118,975.52
  5. Step 5: Solve for x
    x = 32,118,975.52/4,961.24
  6. Step 6: Final answer
    x = 6,473.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.