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Finding the Fourth Proportional to 7,139.50, 10,709.39 and 1,945.51

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Solution

The fourth proportional to 7,139.50, 10,709.39 and 1,945.51 is: 2,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.50 : 10,709.39 = 1,945.51 : x
  2. Step 2: Convert to fraction form
    7,139.50/10,709.39 = 1,945.51/x
  3. Step 3: Cross multiply
    7,139.50x = 10,709.39 × 1,945.51
  4. Step 4: Simplify right side
    7,139.50x = 20,835,225.34
  5. Step 5: Solve for x
    x = 20,835,225.34/7,139.50
  6. Step 6: Final answer
    x = 2,918.30

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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.