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Finding the Fourth Proportional to 6,451, 8,902.56 and 3,656.68

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Solution

The fourth proportional to 6,451, 8,902.56 and 3,656.68 is: 5,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451 : 8,902.56 = 3,656.68 : x
  2. Step 2: Convert to fraction form
    6,451/8,902.56 = 3,656.68/x
  3. Step 3: Cross multiply
    6,451x = 8,902.56 × 3,656.68
  4. Step 4: Simplify right side
    6,451x = 32,553,813.10
  5. Step 5: Solve for x
    x = 32,553,813.10/6,451
  6. Step 6: Final answer
    x = 5,046.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.