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Finding the Fourth Proportional to 9,713.66, 14,570.03 and 3,474.09

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Solution

The fourth proportional to 9,713.66, 14,570.03 and 3,474.09 is: 5,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.66 : 14,570.03 = 3,474.09 : x
  2. Step 2: Convert to fraction form
    9,713.66/14,570.03 = 3,474.09/x
  3. Step 3: Cross multiply
    9,713.66x = 14,570.03 × 3,474.09
  4. Step 4: Simplify right side
    9,713.66x = 50,617,604.21
  5. Step 5: Solve for x
    x = 50,617,604.21/9,713.66
  6. Step 6: Final answer
    x = 5,210.97

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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.