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Finding the Fourth Proportional to 5,660.25, 7,811.16 and 3,176.25

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Solution

The fourth proportional to 5,660.25, 7,811.16 and 3,176.25 is: 4,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.25 : 7,811.16 = 3,176.25 : x
  2. Step 2: Convert to fraction form
    5,660.25/7,811.16 = 3,176.25/x
  3. Step 3: Cross multiply
    5,660.25x = 7,811.16 × 3,176.25
  4. Step 4: Simplify right side
    5,660.25x = 24,810,196.95
  5. Step 5: Solve for x
    x = 24,810,196.95/5,660.25
  6. Step 6: Final answer
    x = 4,383.23

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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.