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Finding the Fourth Proportional to 4,007, 6,010.50 and 1,409.64

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Solution

The fourth proportional to 4,007, 6,010.50 and 1,409.64 is: 2,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007 : 6,010.50 = 1,409.64 : x
  2. Step 2: Convert to fraction form
    4,007/6,010.50 = 1,409.64/x
  3. Step 3: Cross multiply
    4,007x = 6,010.50 × 1,409.64
  4. Step 4: Simplify right side
    4,007x = 8,472,641.22
  5. Step 5: Solve for x
    x = 8,472,641.22/4,007
  6. Step 6: Final answer
    x = 2,114.46

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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.