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Finding the Fourth Proportional to 6,223.12, 9,335.04 and 1,606

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Solution

The fourth proportional to 6,223.12, 9,335.04 and 1,606 is: 2,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.12 : 9,335.04 = 1,606 : x
  2. Step 2: Convert to fraction form
    6,223.12/9,335.04 = 1,606/x
  3. Step 3: Cross multiply
    6,223.12x = 9,335.04 × 1,606
  4. Step 4: Simplify right side
    6,223.12x = 14,992,074.24
  5. Step 5: Solve for x
    x = 14,992,074.24/6,223.12
  6. Step 6: Final answer
    x = 2,409.09

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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.