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Finding the Fourth Proportional to 5,007.21, 7,509.31 and 1,674.61

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Solution

The fourth proportional to 5,007.21, 7,509.31 and 1,674.61 is: 2,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.21 : 7,509.31 = 1,674.61 : x
  2. Step 2: Convert to fraction form
    5,007.21/7,509.31 = 1,674.61/x
  3. Step 3: Cross multiply
    5,007.21x = 7,509.31 × 1,674.61
  4. Step 4: Simplify right side
    5,007.21x = 12,575,174.34
  5. Step 5: Solve for x
    x = 12,575,174.34/5,007.21
  6. Step 6: Final answer
    x = 2,511.41

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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.