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Finding the Fourth Proportional to 4,633.17, 6,949.02 and 1,513.15

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Solution

The fourth proportional to 4,633.17, 6,949.02 and 1,513.15 is: 2,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.17 : 6,949.02 = 1,513.15 : x
  2. Step 2: Convert to fraction form
    4,633.17/6,949.02 = 1,513.15/x
  3. Step 3: Cross multiply
    4,633.17x = 6,949.02 × 1,513.15
  4. Step 4: Simplify right side
    4,633.17x = 10,514,925.87
  5. Step 5: Solve for x
    x = 10,514,925.87/4,633.17
  6. Step 6: Final answer
    x = 2,269.49

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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.