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Finding the Fourth Proportional to 5,310.54, 7,967.07 and 1,612.98

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Solution

The fourth proportional to 5,310.54, 7,967.07 and 1,612.98 is: 2,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.54 : 7,967.07 = 1,612.98 : x
  2. Step 2: Convert to fraction form
    5,310.54/7,967.07 = 1,612.98/x
  3. Step 3: Cross multiply
    5,310.54x = 7,967.07 × 1,612.98
  4. Step 4: Simplify right side
    5,310.54x = 12,850,724.57
  5. Step 5: Solve for x
    x = 12,850,724.57/5,310.54
  6. Step 6: Final answer
    x = 2,419.85

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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.