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Finding the Fourth Proportional to 6,352.02, 8,782.50 and 5,563.80

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Solution

The fourth proportional to 6,352.02, 8,782.50 and 5,563.80 is: 7,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.02 : 8,782.50 = 5,563.80 : x
  2. Step 2: Convert to fraction form
    6,352.02/8,782.50 = 5,563.80/x
  3. Step 3: Cross multiply
    6,352.02x = 8,782.50 × 5,563.80
  4. Step 4: Simplify right side
    6,352.02x = 48,864,073.50
  5. Step 5: Solve for x
    x = 48,864,073.50/6,352.02
  6. Step 6: Final answer
    x = 7,692.68

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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.