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Finding the Fourth Proportional to 7,232.80, 10,849.20 and 6,455.20

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Solution

The fourth proportional to 7,232.80, 10,849.20 and 6,455.20 is: 9,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.80 : 10,849.20 = 6,455.20 : x
  2. Step 2: Convert to fraction form
    7,232.80/10,849.20 = 6,455.20/x
  3. Step 3: Cross multiply
    7,232.80x = 10,849.20 × 6,455.20
  4. Step 4: Simplify right side
    7,232.80x = 70,033,755.84
  5. Step 5: Solve for x
    x = 70,033,755.84/7,232.80
  6. Step 6: Final answer
    x = 9,682.80

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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.