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Finding the Fourth Proportional to 6,561.46, 9,842.04 and 1,631.02

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Solution

The fourth proportional to 6,561.46, 9,842.04 and 1,631.02 is: 2,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.46 : 9,842.04 = 1,631.02 : x
  2. Step 2: Convert to fraction form
    6,561.46/9,842.04 = 1,631.02/x
  3. Step 3: Cross multiply
    6,561.46x = 9,842.04 × 1,631.02
  4. Step 4: Simplify right side
    6,561.46x = 16,052,564.08
  5. Step 5: Solve for x
    x = 16,052,564.08/6,561.46
  6. Step 6: Final answer
    x = 2,446.49

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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.