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Finding the Fourth Proportional to 5,666.54, 7,811.07 and 4,616.78

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Solution

The fourth proportional to 5,666.54, 7,811.07 and 4,616.78 is: 6,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.54 : 7,811.07 = 4,616.78 : x
  2. Step 2: Convert to fraction form
    5,666.54/7,811.07 = 4,616.78/x
  3. Step 3: Cross multiply
    5,666.54x = 7,811.07 × 4,616.78
  4. Step 4: Simplify right side
    5,666.54x = 36,061,991.75
  5. Step 5: Solve for x
    x = 36,061,991.75/5,666.54
  6. Step 6: Final answer
    x = 6,364.02

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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.