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Finding the Fourth Proportional to 4,976.65, 7,464.70 and 1,513.63

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Solution

The fourth proportional to 4,976.65, 7,464.70 and 1,513.63 is: 2,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.65 : 7,464.70 = 1,513.63 : x
  2. Step 2: Convert to fraction form
    4,976.65/7,464.70 = 1,513.63/x
  3. Step 3: Cross multiply
    4,976.65x = 7,464.70 × 1,513.63
  4. Step 4: Simplify right side
    4,976.65x = 11,298,793.86
  5. Step 5: Solve for x
    x = 11,298,793.86/4,976.65
  6. Step 6: Final answer
    x = 2,270.36

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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.