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Finding the Fourth Proportional to 8,187.84, 12,284.52 and 3,256.17

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Solution

The fourth proportional to 8,187.84, 12,284.52 and 3,256.17 is: 4,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,187.84 : 12,284.52 = 3,256.17 : x
  2. Step 2: Convert to fraction form
    8,187.84/12,284.52 = 3,256.17/x
  3. Step 3: Cross multiply
    8,187.84x = 12,284.52 × 3,256.17
  4. Step 4: Simplify right side
    8,187.84x = 40,000,485.49
  5. Step 5: Solve for x
    x = 40,000,485.49/8,187.84
  6. Step 6: Final answer
    x = 4,885.35

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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.