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Finding the Fourth Proportional to 4,007, 6,010.48 and 1,815.68

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Solution

The fourth proportional to 4,007, 6,010.48 and 1,815.68 is: 2,723.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007 : 6,010.48 = 1,815.68 : x
  2. Step 2: Convert to fraction form
    4,007/6,010.48 = 1,815.68/x
  3. Step 3: Cross multiply
    4,007x = 6,010.48 × 1,815.68
  4. Step 4: Simplify right side
    4,007x = 10,913,108.33
  5. Step 5: Solve for x
    x = 10,913,108.33/4,007
  6. Step 6: Final answer
    x = 2,723.51

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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.