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Finding the Fourth Proportional to 25,609.64, 38,416.44 and 9,822.24

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Solution

The fourth proportional to 25,609.64, 38,416.44 and 9,822.24 is: 14,734.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,609.64 : 38,416.44 = 9,822.24 : x
  2. Step 2: Convert to fraction form
    25,609.64/38,416.44 = 9,822.24/x
  3. Step 3: Cross multiply
    25,609.64x = 38,416.44 × 9,822.24
  4. Step 4: Simplify right side
    25,609.64x = 377,335,493.63
  5. Step 5: Solve for x
    x = 377,335,493.63/25,609.64
  6. Step 6: Final answer
    x = 14,734.12

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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.