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Finding the Fourth Proportional to 7,138, 10,707.14 and 1,944.01

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Solution

The fourth proportional to 7,138, 10,707.14 and 1,944.01 is: 2,916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 10,707.14 = 1,944.01 : x
  2. Step 2: Convert to fraction form
    7,138/10,707.14 = 1,944.01/x
  3. Step 3: Cross multiply
    7,138x = 10,707.14 × 1,944.01
  4. Step 4: Simplify right side
    7,138x = 20,814,787.23
  5. Step 5: Solve for x
    x = 20,814,787.23/7,138
  6. Step 6: Final answer
    x = 2,916.05

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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.