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Finding the Fourth Proportional to 6,210.46, 9,313.08 and 1,826.92

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Solution

The fourth proportional to 6,210.46, 9,313.08 and 1,826.92 is: 2,739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,210.46 : 9,313.08 = 1,826.92 : x
  2. Step 2: Convert to fraction form
    6,210.46/9,313.08 = 1,826.92/x
  3. Step 3: Cross multiply
    6,210.46x = 9,313.08 × 1,826.92
  4. Step 4: Simplify right side
    6,210.46x = 17,014,252.11
  5. Step 5: Solve for x
    x = 17,014,252.11/6,210.46
  6. Step 6: Final answer
    x = 2,739.61

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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.