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Finding the Fourth Proportional to 5,162.48, 7,739.16 and 1,874.80

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Solution

The fourth proportional to 5,162.48, 7,739.16 and 1,874.80 is: 2,810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.48 : 7,739.16 = 1,874.80 : x
  2. Step 2: Convert to fraction form
    5,162.48/7,739.16 = 1,874.80/x
  3. Step 3: Cross multiply
    5,162.48x = 7,739.16 × 1,874.80
  4. Step 4: Simplify right side
    5,162.48x = 14,509,377.17
  5. Step 5: Solve for x
    x = 14,509,377.17/5,162.48
  6. Step 6: Final answer
    x = 2,810.54

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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.