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Finding the Fourth Proportional to 6,709.40, 10,072.20 and 6,660.80

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Solution

The fourth proportional to 6,709.40, 10,072.20 and 6,660.80 is: 9,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.40 : 10,072.20 = 6,660.80 : x
  2. Step 2: Convert to fraction form
    6,709.40/10,072.20 = 6,660.80/x
  3. Step 3: Cross multiply
    6,709.40x = 10,072.20 × 6,660.80
  4. Step 4: Simplify right side
    6,709.40x = 67,088,909.76
  5. Step 5: Solve for x
    x = 67,088,909.76/6,709.40
  6. Step 6: Final answer
    x = 9,999.24

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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.