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Finding the Fourth Proportional to 4,630.75, 6,946.90 and 1,509.86

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Solution

The fourth proportional to 4,630.75, 6,946.90 and 1,509.86 is: 2,265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.75 : 6,946.90 = 1,509.86 : x
  2. Step 2: Convert to fraction form
    4,630.75/6,946.90 = 1,509.86/x
  3. Step 3: Cross multiply
    4,630.75x = 6,946.90 × 1,509.86
  4. Step 4: Simplify right side
    4,630.75x = 10,488,860.03
  5. Step 5: Solve for x
    x = 10,488,860.03/4,630.75
  6. Step 6: Final answer
    x = 2,265.05

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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.