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Finding the Fourth Proportional to 4,663.16, 6,995.22 and 1,200.44

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Solution

The fourth proportional to 4,663.16, 6,995.22 and 1,200.44 is: 1,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.16 : 6,995.22 = 1,200.44 : x
  2. Step 2: Convert to fraction form
    4,663.16/6,995.22 = 1,200.44/x
  3. Step 3: Cross multiply
    4,663.16x = 6,995.22 × 1,200.44
  4. Step 4: Simplify right side
    4,663.16x = 8,397,341.90
  5. Step 5: Solve for x
    x = 8,397,341.90/4,663.16
  6. Step 6: Final answer
    x = 1,800.78

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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.