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Finding the Fourth Proportional to 8,563.56, 12,876.56 and 7,878.50

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Solution

The fourth proportional to 8,563.56, 12,876.56 and 7,878.50 is: 11,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.56 : 12,876.56 = 7,878.50 : x
  2. Step 2: Convert to fraction form
    8,563.56/12,876.56 = 7,878.50/x
  3. Step 3: Cross multiply
    8,563.56x = 12,876.56 × 7,878.50
  4. Step 4: Simplify right side
    8,563.56x = 101,447,938.70
  5. Step 5: Solve for x
    x = 101,447,938.70/8,563.56
  6. Step 6: Final answer
    x = 11,846.47

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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.