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Finding the Fourth Proportional to 25,352.76, 38,029.14 and 6,884.76

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Solution

The fourth proportional to 25,352.76, 38,029.14 and 6,884.76 is: 10,327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,352.76 : 38,029.14 = 6,884.76 : x
  2. Step 2: Convert to fraction form
    25,352.76/38,029.14 = 6,884.76/x
  3. Step 3: Cross multiply
    25,352.76x = 38,029.14 × 6,884.76
  4. Step 4: Simplify right side
    25,352.76x = 261,821,501.91
  5. Step 5: Solve for x
    x = 261,821,501.91/25,352.76
  6. Step 6: Final answer
    x = 10,327.14

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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.