Home / 9,788.14-14,677.43-6,828

Finding the Fourth Proportional to 9,788.14, 14,677.43 and 6,828

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Solution

The fourth proportional to 9,788.14, 14,677.43 and 6,828 is: 10,238.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.14 : 14,677.43 = 6,828 : x
  2. Step 2: Convert to fraction form
    9,788.14/14,677.43 = 6,828/x
  3. Step 3: Cross multiply
    9,788.14x = 14,677.43 × 6,828
  4. Step 4: Simplify right side
    9,788.14x = 100,217,457.90
  5. Step 5: Solve for x
    x = 100,217,457.90/9,788.14
  6. Step 6: Final answer
    x = 10,238.66

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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.