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Finding the Fourth Proportional to 25,766, 38,649 and 6,310

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Solution

The fourth proportional to 25,766, 38,649 and 6,310 is: 9,465

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,766 : 38,649 = 6,310 : x
  2. Step 2: Convert to fraction form
    25,766/38,649 = 6,310/x
  3. Step 3: Cross multiply
    25,766x = 38,649 × 6,310
  4. Step 4: Simplify right side
    25,766x = 243,875,190
  5. Step 5: Solve for x
    x = 243,875,190/25,766
  6. Step 6: Final answer
    x = 9,465

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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.