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Finding the Fourth Proportional to 10,314, 15,471.04 and 3,737.60

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Solution

The fourth proportional to 10,314, 15,471.04 and 3,737.60 is: 5,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 15,471.04 = 3,737.60 : x
  2. Step 2: Convert to fraction form
    10,314/15,471.04 = 3,737.60/x
  3. Step 3: Cross multiply
    10,314x = 15,471.04 × 3,737.60
  4. Step 4: Simplify right side
    10,314x = 57,824,559.10
  5. Step 5: Solve for x
    x = 57,824,559.10/10,314
  6. Step 6: Final answer
    x = 5,606.41

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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.