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Finding the Fourth Proportional to 8,625.60, 11,905.44 and 5,648.64

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Solution

The fourth proportional to 8,625.60, 11,905.44 and 5,648.64 is: 7,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.60 : 11,905.44 = 5,648.64 : x
  2. Step 2: Convert to fraction form
    8,625.60/11,905.44 = 5,648.64/x
  3. Step 3: Cross multiply
    8,625.60x = 11,905.44 × 5,648.64
  4. Step 4: Simplify right side
    8,625.60x = 67,249,544.60
  5. Step 5: Solve for x
    x = 67,249,544.60/8,625.60
  6. Step 6: Final answer
    x = 7,796.51

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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.