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Finding the Fourth Proportional to 9,662.59, 14,493.43 and 3,422.50

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Solution

The fourth proportional to 9,662.59, 14,493.43 and 3,422.50 is: 5,133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.59 : 14,493.43 = 3,422.50 : x
  2. Step 2: Convert to fraction form
    9,662.59/14,493.43 = 3,422.50/x
  3. Step 3: Cross multiply
    9,662.59x = 14,493.43 × 3,422.50
  4. Step 4: Simplify right side
    9,662.59x = 49,603,813.75
  5. Step 5: Solve for x
    x = 49,603,813.75/9,662.59
  6. Step 6: Final answer
    x = 5,133.59

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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.