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Finding the Fourth Proportional to 10,472.10, 14,438.02 and 8,576.70

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Solution

The fourth proportional to 10,472.10, 14,438.02 and 8,576.70 is: 11,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.10 : 14,438.02 = 8,576.70 : x
  2. Step 2: Convert to fraction form
    10,472.10/14,438.02 = 8,576.70/x
  3. Step 3: Cross multiply
    10,472.10x = 14,438.02 × 8,576.70
  4. Step 4: Simplify right side
    10,472.10x = 123,830,451.06
  5. Step 5: Solve for x
    x = 123,830,451.06/10,472.10
  6. Step 6: Final answer
    x = 11,824.80

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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.