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Finding the Fourth Proportional to 7,113, 10,671.44 and 2,182.53

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Solution

The fourth proportional to 7,113, 10,671.44 and 2,182.53 is: 3,274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113 : 10,671.44 = 2,182.53 : x
  2. Step 2: Convert to fraction form
    7,113/10,671.44 = 2,182.53/x
  3. Step 3: Cross multiply
    7,113x = 10,671.44 × 2,182.53
  4. Step 4: Simplify right side
    7,113x = 23,290,737.94
  5. Step 5: Solve for x
    x = 23,290,737.94/7,113
  6. Step 6: Final answer
    x = 3,274.39

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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.