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Finding the Fourth Proportional to 9,635.50, 14,453.25 and 2,339.50

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Solution

The fourth proportional to 9,635.50, 14,453.25 and 2,339.50 is: 3,509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.50 : 14,453.25 = 2,339.50 : x
  2. Step 2: Convert to fraction form
    9,635.50/14,453.25 = 2,339.50/x
  3. Step 3: Cross multiply
    9,635.50x = 14,453.25 × 2,339.50
  4. Step 4: Simplify right side
    9,635.50x = 33,813,378.38
  5. Step 5: Solve for x
    x = 33,813,378.38/9,635.50
  6. Step 6: Final answer
    x = 3,509.25

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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.