Home / 10,784.34-16,174.08-4,207.14

Finding the Fourth Proportional to 10,784.34, 16,174.08 and 4,207.14

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Solution

The fourth proportional to 10,784.34, 16,174.08 and 4,207.14 is: 6,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.34 : 16,174.08 = 4,207.14 : x
  2. Step 2: Convert to fraction form
    10,784.34/16,174.08 = 4,207.14/x
  3. Step 3: Cross multiply
    10,784.34x = 16,174.08 × 4,207.14
  4. Step 4: Simplify right side
    10,784.34x = 68,046,618.93
  5. Step 5: Solve for x
    x = 68,046,618.93/10,784.34
  6. Step 6: Final answer
    x = 6,309.76

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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.