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Finding the Fourth Proportional to 25,783, 38,680.98 and 7,315

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Solution

The fourth proportional to 25,783, 38,680.98 and 7,315 is: 10,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783 : 38,680.98 = 7,315 : x
  2. Step 2: Convert to fraction form
    25,783/38,680.98 = 7,315/x
  3. Step 3: Cross multiply
    25,783x = 38,680.98 × 7,315
  4. Step 4: Simplify right side
    25,783x = 282,951,368.70
  5. Step 5: Solve for x
    x = 282,951,368.70/25,783
  6. Step 6: Final answer
    x = 10,974.34

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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.