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Finding the Fourth Proportional to 7,453.02, 10,285.41 and 4,096.02

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Solution

The fourth proportional to 7,453.02, 10,285.41 and 4,096.02 is: 5,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,453.02 : 10,285.41 = 4,096.02 : x
  2. Step 2: Convert to fraction form
    7,453.02/10,285.41 = 4,096.02/x
  3. Step 3: Cross multiply
    7,453.02x = 10,285.41 × 4,096.02
  4. Step 4: Simplify right side
    7,453.02x = 42,129,245.07
  5. Step 5: Solve for x
    x = 42,129,245.07/7,453.02
  6. Step 6: Final answer
    x = 5,652.64

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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.