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Finding the Fourth Proportional to 8,984, 13,478.18 and 2,828

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Solution

The fourth proportional to 8,984, 13,478.18 and 2,828 is: 4,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984 : 13,478.18 = 2,828 : x
  2. Step 2: Convert to fraction form
    8,984/13,478.18 = 2,828/x
  3. Step 3: Cross multiply
    8,984x = 13,478.18 × 2,828
  4. Step 4: Simplify right side
    8,984x = 38,116,293.04
  5. Step 5: Solve for x
    x = 38,116,293.04/8,984
  6. Step 6: Final answer
    x = 4,242.69

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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.