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Finding the Fourth Proportional to 9,695.81, 14,540.13 and 3,454.17

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Solution

The fourth proportional to 9,695.81, 14,540.13 and 3,454.17 is: 5,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.81 : 14,540.13 = 3,454.17 : x
  2. Step 2: Convert to fraction form
    9,695.81/14,540.13 = 3,454.17/x
  3. Step 3: Cross multiply
    9,695.81x = 14,540.13 × 3,454.17
  4. Step 4: Simplify right side
    9,695.81x = 50,224,062.35
  5. Step 5: Solve for x
    x = 50,224,062.35/9,695.81
  6. Step 6: Final answer
    x = 5,179.97

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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.