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Finding the Fourth Proportional to 7,703.84, 11,553.28 and 2,508.50

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Solution

The fourth proportional to 7,703.84, 11,553.28 and 2,508.50 is: 3,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.84 : 11,553.28 = 2,508.50 : x
  2. Step 2: Convert to fraction form
    7,703.84/11,553.28 = 2,508.50/x
  3. Step 3: Cross multiply
    7,703.84x = 11,553.28 × 2,508.50
  4. Step 4: Simplify right side
    7,703.84x = 28,981,402.88
  5. Step 5: Solve for x
    x = 28,981,402.88/7,703.84
  6. Step 6: Final answer
    x = 3,761.94

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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.