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Finding the Fourth Proportional to 25,770, 38,655 and 7,302

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Solution

The fourth proportional to 25,770, 38,655 and 7,302 is: 10,953

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,770 : 38,655 = 7,302 : x
  2. Step 2: Convert to fraction form
    25,770/38,655 = 7,302/x
  3. Step 3: Cross multiply
    25,770x = 38,655 × 7,302
  4. Step 4: Simplify right side
    25,770x = 282,258,810
  5. Step 5: Solve for x
    x = 282,258,810/25,770
  6. Step 6: Final answer
    x = 10,953

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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.