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Finding the Fourth Proportional to 9,301.53, 13,921.97 and 6,835.71

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Solution

The fourth proportional to 9,301.53, 13,921.97 and 6,835.71 is: 10,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.53 : 13,921.97 = 6,835.71 : x
  2. Step 2: Convert to fraction form
    9,301.53/13,921.97 = 6,835.71/x
  3. Step 3: Cross multiply
    9,301.53x = 13,921.97 × 6,835.71
  4. Step 4: Simplify right side
    9,301.53x = 95,166,515.37
  5. Step 5: Solve for x
    x = 95,166,515.37/9,301.53
  6. Step 6: Final answer
    x = 10,231.28

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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.