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Finding the Fourth Proportional to 25,544, 38,316 and 7,076

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Solution

The fourth proportional to 25,544, 38,316 and 7,076 is: 10,614

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,544 : 38,316 = 7,076 : x
  2. Step 2: Convert to fraction form
    25,544/38,316 = 7,076/x
  3. Step 3: Cross multiply
    25,544x = 38,316 × 7,076
  4. Step 4: Simplify right side
    25,544x = 271,124,016
  5. Step 5: Solve for x
    x = 271,124,016/25,544
  6. Step 6: Final answer
    x = 10,614

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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.