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Finding the Fourth Proportional to 10,945.80, 16,434.90 and 6,571.80

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Solution

The fourth proportional to 10,945.80, 16,434.90 and 6,571.80 is: 9,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.80 : 16,434.90 = 6,571.80 : x
  2. Step 2: Convert to fraction form
    10,945.80/16,434.90 = 6,571.80/x
  3. Step 3: Cross multiply
    10,945.80x = 16,434.90 × 6,571.80
  4. Step 4: Simplify right side
    10,945.80x = 108,006,875.82
  5. Step 5: Solve for x
    x = 108,006,875.82/10,945.80
  6. Step 6: Final answer
    x = 9,867.43

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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.