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Finding the Fourth Proportional to 4,663.05, 6,994.67 and 1,200.30

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Solution

The fourth proportional to 4,663.05, 6,994.67 and 1,200.30 is: 1,800.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.05 : 6,994.67 = 1,200.30 : x
  2. Step 2: Convert to fraction form
    4,663.05/6,994.67 = 1,200.30/x
  3. Step 3: Cross multiply
    4,663.05x = 6,994.67 × 1,200.30
  4. Step 4: Simplify right side
    4,663.05x = 8,395,702.40
  5. Step 5: Solve for x
    x = 8,395,702.40/4,663.05
  6. Step 6: Final answer
    x = 1,800.47

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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.