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Finding the Fourth Proportional to 4,630.86, 6,946.90 and 1,509.77

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Solution

The fourth proportional to 4,630.86, 6,946.90 and 1,509.77 is: 2,264.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.86 : 6,946.90 = 1,509.77 : x
  2. Step 2: Convert to fraction form
    4,630.86/6,946.90 = 1,509.77/x
  3. Step 3: Cross multiply
    4,630.86x = 6,946.90 × 1,509.77
  4. Step 4: Simplify right side
    4,630.86x = 10,488,221.21
  5. Step 5: Solve for x
    x = 10,488,221.21/4,630.86
  6. Step 6: Final answer
    x = 2,264.85

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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.