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Finding the Fourth Proportional to 7,600.80, 10,477.44 and 5,356.30

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Solution

The fourth proportional to 7,600.80, 10,477.44 and 5,356.30 is: 7,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.80 : 10,477.44 = 5,356.30 : x
  2. Step 2: Convert to fraction form
    7,600.80/10,477.44 = 5,356.30/x
  3. Step 3: Cross multiply
    7,600.80x = 10,477.44 × 5,356.30
  4. Step 4: Simplify right side
    7,600.80x = 56,120,311.87
  5. Step 5: Solve for x
    x = 56,120,311.87/7,600.80
  6. Step 6: Final answer
    x = 7,383.47

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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.