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Finding the Fourth Proportional to 6,656.50, 9,985.02 and 2,039.50

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Solution

The fourth proportional to 6,656.50, 9,985.02 and 2,039.50 is: 3,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.50 : 9,985.02 = 2,039.50 : x
  2. Step 2: Convert to fraction form
    6,656.50/9,985.02 = 2,039.50/x
  3. Step 3: Cross multiply
    6,656.50x = 9,985.02 × 2,039.50
  4. Step 4: Simplify right side
    6,656.50x = 20,364,448.29
  5. Step 5: Solve for x
    x = 20,364,448.29/6,656.50
  6. Step 6: Final answer
    x = 3,059.33

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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.