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Finding the Fourth Proportional to 6,472.84, 9,709.38 and 2,089.96

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Solution

The fourth proportional to 6,472.84, 9,709.38 and 2,089.96 is: 3,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.84 : 9,709.38 = 2,089.96 : x
  2. Step 2: Convert to fraction form
    6,472.84/9,709.38 = 2,089.96/x
  3. Step 3: Cross multiply
    6,472.84x = 9,709.38 × 2,089.96
  4. Step 4: Simplify right side
    6,472.84x = 20,292,215.82
  5. Step 5: Solve for x
    x = 20,292,215.82/6,472.84
  6. Step 6: Final answer
    x = 3,134.98

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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.