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Finding the Fourth Proportional to 25,730, 38,595 and 6,274

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Solution

The fourth proportional to 25,730, 38,595 and 6,274 is: 9,411

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730 : 38,595 = 6,274 : x
  2. Step 2: Convert to fraction form
    25,730/38,595 = 6,274/x
  3. Step 3: Cross multiply
    25,730x = 38,595 × 6,274
  4. Step 4: Simplify right side
    25,730x = 242,145,030
  5. Step 5: Solve for x
    x = 242,145,030/25,730
  6. Step 6: Final answer
    x = 9,411

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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.