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Finding the Fourth Proportional to 6,593.94, 9,890.64 and 5,713.56

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Solution

The fourth proportional to 6,593.94, 9,890.64 and 5,713.56 is: 8,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.94 : 9,890.64 = 5,713.56 : x
  2. Step 2: Convert to fraction form
    6,593.94/9,890.64 = 5,713.56/x
  3. Step 3: Cross multiply
    6,593.94x = 9,890.64 × 5,713.56
  4. Step 4: Simplify right side
    6,593.94x = 56,510,765.08
  5. Step 5: Solve for x
    x = 56,510,765.08/6,593.94
  6. Step 6: Final answer
    x = 8,570.11

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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.