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Finding the Fourth Proportional to 4,832.36, 7,232.54 and 4,156.52

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Solution

The fourth proportional to 4,832.36, 7,232.54 and 4,156.52 is: 6,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.36 : 7,232.54 = 4,156.52 : x
  2. Step 2: Convert to fraction form
    4,832.36/7,232.54 = 4,156.52/x
  3. Step 3: Cross multiply
    4,832.36x = 7,232.54 × 4,156.52
  4. Step 4: Simplify right side
    4,832.36x = 30,062,197.16
  5. Step 5: Solve for x
    x = 30,062,197.16/4,832.36
  6. Step 6: Final answer
    x = 6,221.02

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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.