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Finding the Fourth Proportional to 12,770.99, 17,624.47 and 7,732.34

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Solution

The fourth proportional to 12,770.99, 17,624.47 and 7,732.34 is: 10,670.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.99 : 17,624.47 = 7,732.34 : x
  2. Step 2: Convert to fraction form
    12,770.99/17,624.47 = 7,732.34/x
  3. Step 3: Cross multiply
    12,770.99x = 17,624.47 × 7,732.34
  4. Step 4: Simplify right side
    12,770.99x = 136,278,419.09
  5. Step 5: Solve for x
    x = 136,278,419.09/12,770.99
  6. Step 6: Final answer
    x = 10,670.94

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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.