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Finding the Fourth Proportional to 4,663.50, 6,995.27 and 1,200.74

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Solution

The fourth proportional to 4,663.50, 6,995.27 and 1,200.74 is: 1,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.50 : 6,995.27 = 1,200.74 : x
  2. Step 2: Convert to fraction form
    4,663.50/6,995.27 = 1,200.74/x
  3. Step 3: Cross multiply
    4,663.50x = 6,995.27 × 1,200.74
  4. Step 4: Simplify right side
    4,663.50x = 8,399,500.50
  5. Step 5: Solve for x
    x = 8,399,500.50/4,663.50
  6. Step 6: Final answer
    x = 1,801.12

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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.