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Finding the Fourth Proportional to 7,832.52, 11,750.64 and 3,151.80

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Solution

The fourth proportional to 7,832.52, 11,750.64 and 3,151.80 is: 4,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.52 : 11,750.64 = 3,151.80 : x
  2. Step 2: Convert to fraction form
    7,832.52/11,750.64 = 3,151.80/x
  3. Step 3: Cross multiply
    7,832.52x = 11,750.64 × 3,151.80
  4. Step 4: Simplify right side
    7,832.52x = 37,035,667.15
  5. Step 5: Solve for x
    x = 37,035,667.15/7,832.52
  6. Step 6: Final answer
    x = 4,728.45

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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.