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Finding the Fourth Proportional to 25,284.96, 34,893 and 13,954.68

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Solution

The fourth proportional to 25,284.96, 34,893 and 13,954.68 is: 19,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284.96 : 34,893 = 13,954.68 : x
  2. Step 2: Convert to fraction form
    25,284.96/34,893 = 13,954.68/x
  3. Step 3: Cross multiply
    25,284.96x = 34,893 × 13,954.68
  4. Step 4: Simplify right side
    25,284.96x = 486,920,649.24
  5. Step 5: Solve for x
    x = 486,920,649.24/25,284.96
  6. Step 6: Final answer
    x = 19,257.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.