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Finding the Fourth Proportional to 8,563.50, 12,847.84 and 6,069.51

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Solution

The fourth proportional to 8,563.50, 12,847.84 and 6,069.51 is: 9,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.50 : 12,847.84 = 6,069.51 : x
  2. Step 2: Convert to fraction form
    8,563.50/12,847.84 = 6,069.51/x
  3. Step 3: Cross multiply
    8,563.50x = 12,847.84 × 6,069.51
  4. Step 4: Simplify right side
    8,563.50x = 77,980,093.36
  5. Step 5: Solve for x
    x = 77,980,093.36/8,563.50
  6. Step 6: Final answer
    x = 9,106.10

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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.