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Finding the Fourth Proportional to 7,671.74, 11,451.60 and 6,583.10

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Solution

The fourth proportional to 7,671.74, 11,451.60 and 6,583.10 is: 9,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.74 : 11,451.60 = 6,583.10 : x
  2. Step 2: Convert to fraction form
    7,671.74/11,451.60 = 6,583.10/x
  3. Step 3: Cross multiply
    7,671.74x = 11,451.60 × 6,583.10
  4. Step 4: Simplify right side
    7,671.74x = 75,387,027.96
  5. Step 5: Solve for x
    x = 75,387,027.96/7,671.74
  6. Step 6: Final answer
    x = 9,826.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.