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Finding the Fourth Proportional to 25,143, 37,715.40 and 6,675

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Solution

The fourth proportional to 25,143, 37,715.40 and 6,675 is: 10,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143 : 37,715.40 = 6,675 : x
  2. Step 2: Convert to fraction form
    25,143/37,715.40 = 6,675/x
  3. Step 3: Cross multiply
    25,143x = 37,715.40 × 6,675
  4. Step 4: Simplify right side
    25,143x = 251,750,295
  5. Step 5: Solve for x
    x = 251,750,295/25,143
  6. Step 6: Final answer
    x = 10,012.74

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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.