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Finding the Fourth Proportional to 9,776.08, 13,474.92 and 8,004.61

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Solution

The fourth proportional to 9,776.08, 13,474.92 and 8,004.61 is: 11,033.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.08 : 13,474.92 = 8,004.61 : x
  2. Step 2: Convert to fraction form
    9,776.08/13,474.92 = 8,004.61/x
  3. Step 3: Cross multiply
    9,776.08x = 13,474.92 × 8,004.61
  4. Step 4: Simplify right side
    9,776.08x = 107,861,479.38
  5. Step 5: Solve for x
    x = 107,861,479.38/9,776.08
  6. Step 6: Final answer
    x = 11,033.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.