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Finding the Fourth Proportional to 8,299.53, 11,453.33 and 4,573.53

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Solution

The fourth proportional to 8,299.53, 11,453.33 and 4,573.53 is: 6,311.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.53 : 11,453.33 = 4,573.53 : x
  2. Step 2: Convert to fraction form
    8,299.53/11,453.33 = 4,573.53/x
  3. Step 3: Cross multiply
    8,299.53x = 11,453.33 × 4,573.53
  4. Step 4: Simplify right side
    8,299.53x = 52,382,125.49
  5. Step 5: Solve for x
    x = 52,382,125.49/8,299.53
  6. Step 6: Final answer
    x = 6,311.46

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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.