Home / 11,477.16-15,834.64-6,696

Finding the Fourth Proportional to 11,477.16, 15,834.64 and 6,696

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Solution

The fourth proportional to 11,477.16, 15,834.64 and 6,696 is: 9,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.16 : 15,834.64 = 6,696 : x
  2. Step 2: Convert to fraction form
    11,477.16/15,834.64 = 6,696/x
  3. Step 3: Cross multiply
    11,477.16x = 15,834.64 × 6,696
  4. Step 4: Simplify right side
    11,477.16x = 106,028,749.44
  5. Step 5: Solve for x
    x = 106,028,749.44/11,477.16
  6. Step 6: Final answer
    x = 9,238.24

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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.