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Finding the Fourth Proportional to 6,672.50, 10,009.29 and 2,055.50

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Solution

The fourth proportional to 6,672.50, 10,009.29 and 2,055.50 is: 3,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.50 : 10,009.29 = 2,055.50 : x
  2. Step 2: Convert to fraction form
    6,672.50/10,009.29 = 2,055.50/x
  3. Step 3: Cross multiply
    6,672.50x = 10,009.29 × 2,055.50
  4. Step 4: Simplify right side
    6,672.50x = 20,574,095.60
  5. Step 5: Solve for x
    x = 20,574,095.60/6,672.50
  6. Step 6: Final answer
    x = 3,083.42

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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.