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Finding the Fourth Proportional to 8,563.62, 11,817.76 and 4,786.78

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Solution

The fourth proportional to 8,563.62, 11,817.76 and 4,786.78 is: 6,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.62 : 11,817.76 = 4,786.78 : x
  2. Step 2: Convert to fraction form
    8,563.62/11,817.76 = 4,786.78/x
  3. Step 3: Cross multiply
    8,563.62x = 11,817.76 × 4,786.78
  4. Step 4: Simplify right side
    8,563.62x = 56,569,017.21
  5. Step 5: Solve for x
    x = 56,569,017.21/8,563.62
  6. Step 6: Final answer
    x = 6,605.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.