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Finding the Fourth Proportional to 9,695.70, 13,381.81 and 5,716.58

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Solution

The fourth proportional to 9,695.70, 13,381.81 and 5,716.58 is: 7,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.70 : 13,381.81 = 5,716.58 : x
  2. Step 2: Convert to fraction form
    9,695.70/13,381.81 = 5,716.58/x
  3. Step 3: Cross multiply
    9,695.70x = 13,381.81 × 5,716.58
  4. Step 4: Simplify right side
    9,695.70x = 76,498,106.21
  5. Step 5: Solve for x
    x = 76,498,106.21/9,695.70
  6. Step 6: Final answer
    x = 7,889.90

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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.