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Finding the Fourth Proportional to 6,290.08, 9,435.20 and 1,673.12

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Solution

The fourth proportional to 6,290.08, 9,435.20 and 1,673.12 is: 2,509.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.08 : 9,435.20 = 1,673.12 : x
  2. Step 2: Convert to fraction form
    6,290.08/9,435.20 = 1,673.12/x
  3. Step 3: Cross multiply
    6,290.08x = 9,435.20 × 1,673.12
  4. Step 4: Simplify right side
    6,290.08x = 15,786,221.82
  5. Step 5: Solve for x
    x = 15,786,221.82/6,290.08
  6. Step 6: Final answer
    x = 2,509.70

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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.