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Finding the Fourth Proportional to 10,655.99, 14,704.98 and 6,179.46

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Solution

The fourth proportional to 10,655.99, 14,704.98 and 6,179.46 is: 8,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.99 : 14,704.98 = 6,179.46 : x
  2. Step 2: Convert to fraction form
    10,655.99/14,704.98 = 6,179.46/x
  3. Step 3: Cross multiply
    10,655.99x = 14,704.98 × 6,179.46
  4. Step 4: Simplify right side
    10,655.99x = 90,868,757.39
  5. Step 5: Solve for x
    x = 90,868,757.39/10,655.99
  6. Step 6: Final answer
    x = 8,527.48

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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.