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Finding the Fourth Proportional to 25,410.72, 38,122.56 and 9,829.44

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Solution

The fourth proportional to 25,410.72, 38,122.56 and 9,829.44 is: 14,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,410.72 : 38,122.56 = 9,829.44 : x
  2. Step 2: Convert to fraction form
    25,410.72/38,122.56 = 9,829.44/x
  3. Step 3: Cross multiply
    25,410.72x = 38,122.56 × 9,829.44
  4. Step 4: Simplify right side
    25,410.72x = 374,723,416.17
  5. Step 5: Solve for x
    x = 374,723,416.17/25,410.72
  6. Step 6: Final answer
    x = 14,746.67

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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.