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Finding the Fourth Proportional to 6,410.06, 9,616.14 and 1,967.61

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Solution

The fourth proportional to 6,410.06, 9,616.14 and 1,967.61 is: 2,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.06 : 9,616.14 = 1,967.61 : x
  2. Step 2: Convert to fraction form
    6,410.06/9,616.14 = 1,967.61/x
  3. Step 3: Cross multiply
    6,410.06x = 9,616.14 × 1,967.61
  4. Step 4: Simplify right side
    6,410.06x = 18,920,813.23
  5. Step 5: Solve for x
    x = 18,920,813.23/6,410.06
  6. Step 6: Final answer
    x = 2,951.74

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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.