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Finding the Fourth Proportional to 25,730, 38,595 and 7,262

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Solution

The fourth proportional to 25,730, 38,595 and 7,262 is: 10,893

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730 : 38,595 = 7,262 : x
  2. Step 2: Convert to fraction form
    25,730/38,595 = 7,262/x
  3. Step 3: Cross multiply
    25,730x = 38,595 × 7,262
  4. Step 4: Simplify right side
    25,730x = 280,276,890
  5. Step 5: Solve for x
    x = 280,276,890/25,730
  6. Step 6: Final answer
    x = 10,893

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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.