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Finding the Fourth Proportional to 20,646.06, 30,971.15 and 6,602.56

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Solution

The fourth proportional to 20,646.06, 30,971.15 and 6,602.56 is: 9,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.06 : 30,971.15 = 6,602.56 : x
  2. Step 2: Convert to fraction form
    20,646.06/30,971.15 = 6,602.56/x
  3. Step 3: Cross multiply
    20,646.06x = 30,971.15 × 6,602.56
  4. Step 4: Simplify right side
    20,646.06x = 204,488,843.13
  5. Step 5: Solve for x
    x = 204,488,843.13/20,646.06
  6. Step 6: Final answer
    x = 9,904.50

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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.