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Finding the Fourth Proportional to 7,883.58, 10,883.80 and 5,234.62

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Solution

The fourth proportional to 7,883.58, 10,883.80 and 5,234.62 is: 7,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.58 : 10,883.80 = 5,234.62 : x
  2. Step 2: Convert to fraction form
    7,883.58/10,883.80 = 5,234.62/x
  3. Step 3: Cross multiply
    7,883.58x = 10,883.80 × 5,234.62
  4. Step 4: Simplify right side
    7,883.58x = 56,972,557.16
  5. Step 5: Solve for x
    x = 56,972,557.16/7,883.58
  6. Step 6: Final answer
    x = 7,226.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.