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Finding the Fourth Proportional to 17,228.84, 25,809.60 and 8,210.12

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Solution

The fourth proportional to 17,228.84, 25,809.60 and 8,210.12 is: 12,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228.84 : 25,809.60 = 8,210.12 : x
  2. Step 2: Convert to fraction form
    17,228.84/25,809.60 = 8,210.12/x
  3. Step 3: Cross multiply
    17,228.84x = 25,809.60 × 8,210.12
  4. Step 4: Simplify right side
    17,228.84x = 211,899,913.15
  5. Step 5: Solve for x
    x = 211,899,913.15/17,228.84
  6. Step 6: Final answer
    x = 12,299.14

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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.