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Finding the Fourth Proportional to 7,832.04, 11,733.35 and 3,878.70

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Solution

The fourth proportional to 7,832.04, 11,733.35 and 3,878.70 is: 5,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.04 : 11,733.35 = 3,878.70 : x
  2. Step 2: Convert to fraction form
    7,832.04/11,733.35 = 3,878.70/x
  3. Step 3: Cross multiply
    7,832.04x = 11,733.35 × 3,878.70
  4. Step 4: Simplify right side
    7,832.04x = 45,510,125.25
  5. Step 5: Solve for x
    x = 45,510,125.25/7,832.04
  6. Step 6: Final answer
    x = 5,810.76

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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.