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Finding the Fourth Proportional to 9,732.22, 14,598.32 and 6,964.30

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Solution

The fourth proportional to 9,732.22, 14,598.32 and 6,964.30 is: 10,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.22 : 14,598.32 = 6,964.30 : x
  2. Step 2: Convert to fraction form
    9,732.22/14,598.32 = 6,964.30/x
  3. Step 3: Cross multiply
    9,732.22x = 14,598.32 × 6,964.30
  4. Step 4: Simplify right side
    9,732.22x = 101,667,079.98
  5. Step 5: Solve for x
    x = 101,667,079.98/9,732.22
  6. Step 6: Final answer
    x = 10,446.44

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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.