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Finding the Fourth Proportional to 7,630.20, 10,533.24 and 4,944.24

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Solution

The fourth proportional to 7,630.20, 10,533.24 and 4,944.24 is: 6,825.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.20 : 10,533.24 = 4,944.24 : x
  2. Step 2: Convert to fraction form
    7,630.20/10,533.24 = 4,944.24/x
  3. Step 3: Cross multiply
    7,630.20x = 10,533.24 × 4,944.24
  4. Step 4: Simplify right side
    7,630.20x = 52,078,866.54
  5. Step 5: Solve for x
    x = 52,078,866.54/7,630.20
  6. Step 6: Final answer
    x = 6,825.36

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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.