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Finding the Fourth Proportional to 8,466.84, 12,705.12 and 4,084.20

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Solution

The fourth proportional to 8,466.84, 12,705.12 and 4,084.20 is: 6,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.84 : 12,705.12 = 4,084.20 : x
  2. Step 2: Convert to fraction form
    8,466.84/12,705.12 = 4,084.20/x
  3. Step 3: Cross multiply
    8,466.84x = 12,705.12 × 4,084.20
  4. Step 4: Simplify right side
    8,466.84x = 51,890,251.10
  5. Step 5: Solve for x
    x = 51,890,251.10/8,466.84
  6. Step 6: Final answer
    x = 6,128.64

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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.