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Finding the Fourth Proportional to 8,563.24, 12,847.45 and 6,069.24

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Solution

The fourth proportional to 8,563.24, 12,847.45 and 6,069.24 is: 9,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.24 : 12,847.45 = 6,069.24 : x
  2. Step 2: Convert to fraction form
    8,563.24/12,847.45 = 6,069.24/x
  3. Step 3: Cross multiply
    8,563.24x = 12,847.45 × 6,069.24
  4. Step 4: Simplify right side
    8,563.24x = 77,974,242.26
  5. Step 5: Solve for x
    x = 77,974,242.26/8,563.24
  6. Step 6: Final answer
    x = 9,105.70

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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.