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Finding the Fourth Proportional to 10,571.46, 14,555.42 and 8,974.80

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Solution

The fourth proportional to 10,571.46, 14,555.42 and 8,974.80 is: 12,357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.46 : 14,555.42 = 8,974.80 : x
  2. Step 2: Convert to fraction form
    10,571.46/14,555.42 = 8,974.80/x
  3. Step 3: Cross multiply
    10,571.46x = 14,555.42 × 8,974.80
  4. Step 4: Simplify right side
    10,571.46x = 130,631,983.42
  5. Step 5: Solve for x
    x = 130,631,983.42/10,571.46
  6. Step 6: Final answer
    x = 12,357.04

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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.