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Finding the Fourth Proportional to 25,825.76, 38,745.12 and 7,357.76

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Solution

The fourth proportional to 25,825.76, 38,745.12 and 7,357.76 is: 11,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,825.76 : 38,745.12 = 7,357.76 : x
  2. Step 2: Convert to fraction form
    25,825.76/38,745.12 = 7,357.76/x
  3. Step 3: Cross multiply
    25,825.76x = 38,745.12 × 7,357.76
  4. Step 4: Simplify right side
    25,825.76x = 285,077,294.13
  5. Step 5: Solve for x
    x = 285,077,294.13/25,825.76
  6. Step 6: Final answer
    x = 11,038.49

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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.