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Finding the Fourth Proportional to 6,007, 9,010.46 and 1,624.90

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Solution

The fourth proportional to 6,007, 9,010.46 and 1,624.90 is: 2,437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007 : 9,010.46 = 1,624.90 : x
  2. Step 2: Convert to fraction form
    6,007/9,010.46 = 1,624.90/x
  3. Step 3: Cross multiply
    6,007x = 9,010.46 × 1,624.90
  4. Step 4: Simplify right side
    6,007x = 14,641,096.45
  5. Step 5: Solve for x
    x = 14,641,096.45/6,007
  6. Step 6: Final answer
    x = 2,437.34

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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.