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Finding the Fourth Proportional to 25,773.49, 38,649.30 and 9,137.71

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Solution

The fourth proportional to 25,773.49, 38,649.30 and 9,137.71 is: 13,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.49 : 38,649.30 = 9,137.71 : x
  2. Step 2: Convert to fraction form
    25,773.49/38,649.30 = 9,137.71/x
  3. Step 3: Cross multiply
    25,773.49x = 38,649.30 × 9,137.71
  4. Step 4: Simplify right side
    25,773.49x = 353,166,095.10
  5. Step 5: Solve for x
    x = 353,166,095.10/25,773.49
  6. Step 6: Final answer
    x = 13,702.69

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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.