Home / 13,096-19,617.72-6,502.24

Finding the Fourth Proportional to 13,096, 19,617.72 and 6,502.24

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Solution

The fourth proportional to 13,096, 19,617.72 and 6,502.24 is: 9,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096 : 19,617.72 = 6,502.24 : x
  2. Step 2: Convert to fraction form
    13,096/19,617.72 = 6,502.24/x
  3. Step 3: Cross multiply
    13,096x = 19,617.72 × 6,502.24
  4. Step 4: Simplify right side
    13,096x = 127,559,123.69
  5. Step 5: Solve for x
    x = 127,559,123.69/13,096
  6. Step 6: Final answer
    x = 9,740.31

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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.