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Finding the Fourth Proportional to 25,827.26, 38,735.78 and 7,102.47

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Solution

The fourth proportional to 25,827.26, 38,735.78 and 7,102.47 is: 10,652.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.26 : 38,735.78 = 7,102.47 : x
  2. Step 2: Convert to fraction form
    25,827.26/38,735.78 = 7,102.47/x
  3. Step 3: Cross multiply
    25,827.26x = 38,735.78 × 7,102.47
  4. Step 4: Simplify right side
    25,827.26x = 275,119,521.70
  5. Step 5: Solve for x
    x = 275,119,521.70/25,827.26
  6. Step 6: Final answer
    x = 10,652.29

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1.5x scale

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.