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Finding the Fourth Proportional to 7,773.64, 11,660.64 and 7,171.90

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Solution

The fourth proportional to 7,773.64, 11,660.64 and 7,171.90 is: 10,758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.64 : 11,660.64 = 7,171.90 : x
  2. Step 2: Convert to fraction form
    7,773.64/11,660.64 = 7,171.90/x
  3. Step 3: Cross multiply
    7,773.64x = 11,660.64 × 7,171.90
  4. Step 4: Simplify right side
    7,773.64x = 83,628,944.02
  5. Step 5: Solve for x
    x = 83,628,944.02/7,773.64
  6. Step 6: Final answer
    x = 10,758.02

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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.