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Finding the Fourth Proportional to 6,602.67, 9,904.05 and 1,672.65

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Solution

The fourth proportional to 6,602.67, 9,904.05 and 1,672.65 is: 2,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.67 : 9,904.05 = 1,672.65 : x
  2. Step 2: Convert to fraction form
    6,602.67/9,904.05 = 1,672.65/x
  3. Step 3: Cross multiply
    6,602.67x = 9,904.05 × 1,672.65
  4. Step 4: Simplify right side
    6,602.67x = 16,566,009.23
  5. Step 5: Solve for x
    x = 16,566,009.23/6,602.67
  6. Step 6: Final answer
    x = 2,508.99

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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.