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Finding the Fourth Proportional to 6,475.61, 9,704.17 and 3,696.53

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Solution

The fourth proportional to 6,475.61, 9,704.17 and 3,696.53 is: 5,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.61 : 9,704.17 = 3,696.53 : x
  2. Step 2: Convert to fraction form
    6,475.61/9,704.17 = 3,696.53/x
  3. Step 3: Cross multiply
    6,475.61x = 9,704.17 × 3,696.53
  4. Step 4: Simplify right side
    6,475.61x = 35,871,697.77
  5. Step 5: Solve for x
    x = 35,871,697.77/6,475.61
  6. Step 6: Final answer
    x = 5,539.51

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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.