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Finding the Fourth Proportional to 7,646.68, 11,471.82 and 3,029.68

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Solution

The fourth proportional to 7,646.68, 11,471.82 and 3,029.68 is: 4,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.68 : 11,471.82 = 3,029.68 : x
  2. Step 2: Convert to fraction form
    7,646.68/11,471.82 = 3,029.68/x
  3. Step 3: Cross multiply
    7,646.68x = 11,471.82 × 3,029.68
  4. Step 4: Simplify right side
    7,646.68x = 34,755,943.62
  5. Step 5: Solve for x
    x = 34,755,943.62/7,646.68
  6. Step 6: Final answer
    x = 4,545.23

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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.