Home / 7,834.16-11,749.80-2,638.64

Finding the Fourth Proportional to 7,834.16, 11,749.80 and 2,638.64

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Solution

The fourth proportional to 7,834.16, 11,749.80 and 2,638.64 is: 3,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.16 : 11,749.80 = 2,638.64 : x
  2. Step 2: Convert to fraction form
    7,834.16/11,749.80 = 2,638.64/x
  3. Step 3: Cross multiply
    7,834.16x = 11,749.80 × 2,638.64
  4. Step 4: Simplify right side
    7,834.16x = 31,003,492.27
  5. Step 5: Solve for x
    x = 31,003,492.27/7,834.16
  6. Step 6: Final answer
    x = 3,957.47

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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.