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Finding the Fourth Proportional to 4,646.68, 6,969.62 and 3,013.50

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Solution

The fourth proportional to 4,646.68, 6,969.62 and 3,013.50 is: 4,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.68 : 6,969.62 = 3,013.50 : x
  2. Step 2: Convert to fraction form
    4,646.68/6,969.62 = 3,013.50/x
  3. Step 3: Cross multiply
    4,646.68x = 6,969.62 × 3,013.50
  4. Step 4: Simplify right side
    4,646.68x = 21,002,949.87
  5. Step 5: Solve for x
    x = 21,002,949.87/4,646.68
  6. Step 6: Final answer
    x = 4,519.99

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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.