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Finding the Fourth Proportional to 9,803.31, 14,704.97 and 3,562.16

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Solution

The fourth proportional to 9,803.31, 14,704.97 and 3,562.16 is: 5,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.31 : 14,704.97 = 3,562.16 : x
  2. Step 2: Convert to fraction form
    9,803.31/14,704.97 = 3,562.16/x
  3. Step 3: Cross multiply
    9,803.31x = 14,704.97 × 3,562.16
  4. Step 4: Simplify right side
    9,803.31x = 52,381,438.12
  5. Step 5: Solve for x
    x = 52,381,438.12/9,803.31
  6. Step 6: Final answer
    x = 5,343.24

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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.