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Finding the Fourth Proportional to 4,716.68, 7,073.35 and 1,384

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Solution

The fourth proportional to 4,716.68, 7,073.35 and 1,384 is: 2,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.68 : 7,073.35 = 1,384 : x
  2. Step 2: Convert to fraction form
    4,716.68/7,073.35 = 1,384/x
  3. Step 3: Cross multiply
    4,716.68x = 7,073.35 × 1,384
  4. Step 4: Simplify right side
    4,716.68x = 9,789,516.40
  5. Step 5: Solve for x
    x = 9,789,516.40/4,716.68
  6. Step 6: Final answer
    x = 2,075.51

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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.