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Finding the Fourth Proportional to 6,509.94, 9,753.57 and 5,219.34

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Solution

The fourth proportional to 6,509.94, 9,753.57 and 5,219.34 is: 7,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.94 : 9,753.57 = 5,219.34 : x
  2. Step 2: Convert to fraction form
    6,509.94/9,753.57 = 5,219.34/x
  3. Step 3: Cross multiply
    6,509.94x = 9,753.57 × 5,219.34
  4. Step 4: Simplify right side
    6,509.94x = 50,907,198.04
  5. Step 5: Solve for x
    x = 50,907,198.04/6,509.94
  6. Step 6: Final answer
    x = 7,819.92

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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.