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Finding the Fourth Proportional to 9,535.94, 14,282.25 and 8,209.16

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Solution

The fourth proportional to 9,535.94, 14,282.25 and 8,209.16 is: 12,295.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.94 : 14,282.25 = 8,209.16 : x
  2. Step 2: Convert to fraction form
    9,535.94/14,282.25 = 8,209.16/x
  3. Step 3: Cross multiply
    9,535.94x = 14,282.25 × 8,209.16
  4. Step 4: Simplify right side
    9,535.94x = 117,245,204.00
  5. Step 5: Solve for x
    x = 117,245,204.00/9,535.94
  6. Step 6: Final answer
    x = 12,295.09

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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.