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Finding the Fourth Proportional to 25,172, 37,758.12 and 6,704

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Solution

The fourth proportional to 25,172, 37,758.12 and 6,704 is: 10,056.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,172 : 37,758.12 = 6,704 : x
  2. Step 2: Convert to fraction form
    25,172/37,758.12 = 6,704/x
  3. Step 3: Cross multiply
    25,172x = 37,758.12 × 6,704
  4. Step 4: Simplify right side
    25,172x = 253,130,436.48
  5. Step 5: Solve for x
    x = 253,130,436.48/25,172
  6. Step 6: Final answer
    x = 10,056.03

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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.