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Finding the Fourth Proportional to 5,449, 8,174.46 and 1,751.32

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Solution

The fourth proportional to 5,449, 8,174.46 and 1,751.32 is: 2,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449 : 8,174.46 = 1,751.32 : x
  2. Step 2: Convert to fraction form
    5,449/8,174.46 = 1,751.32/x
  3. Step 3: Cross multiply
    5,449x = 8,174.46 × 1,751.32
  4. Step 4: Simplify right side
    5,449x = 14,316,095.29
  5. Step 5: Solve for x
    x = 14,316,095.29/5,449
  6. Step 6: Final answer
    x = 2,627.29

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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.