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Finding the Fourth Proportional to 7,859.73, 11,770.14 and 4,562.82

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Solution

The fourth proportional to 7,859.73, 11,770.14 and 4,562.82 is: 6,832.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.73 : 11,770.14 = 4,562.82 : x
  2. Step 2: Convert to fraction form
    7,859.73/11,770.14 = 4,562.82/x
  3. Step 3: Cross multiply
    7,859.73x = 11,770.14 × 4,562.82
  4. Step 4: Simplify right side
    7,859.73x = 53,705,030.19
  5. Step 5: Solve for x
    x = 53,705,030.19/7,859.73
  6. Step 6: Final answer
    x = 6,832.94

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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.