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Finding the Fourth Proportional to 8,410.68, 12,616.02 and 2,566.98

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Solution

The fourth proportional to 8,410.68, 12,616.02 and 2,566.98 is: 3,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.68 : 12,616.02 = 2,566.98 : x
  2. Step 2: Convert to fraction form
    8,410.68/12,616.02 = 2,566.98/x
  3. Step 3: Cross multiply
    8,410.68x = 12,616.02 × 2,566.98
  4. Step 4: Simplify right side
    8,410.68x = 32,385,071.02
  5. Step 5: Solve for x
    x = 32,385,071.02/8,410.68
  6. Step 6: Final answer
    x = 3,850.47

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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.