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Finding the Fourth Proportional to 6,541.34, 9,806.02 and 2,842.23

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Solution

The fourth proportional to 6,541.34, 9,806.02 and 2,842.23 is: 4,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.34 : 9,806.02 = 2,842.23 : x
  2. Step 2: Convert to fraction form
    6,541.34/9,806.02 = 2,842.23/x
  3. Step 3: Cross multiply
    6,541.34x = 9,806.02 × 2,842.23
  4. Step 4: Simplify right side
    6,541.34x = 27,870,964.22
  5. Step 5: Solve for x
    x = 27,870,964.22/6,541.34
  6. Step 6: Final answer
    x = 4,260.74

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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.