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Finding the Fourth Proportional to 8,300, 11,454 and 4,988

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Solution

The fourth proportional to 8,300, 11,454 and 4,988 is: 6,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300 : 11,454 = 4,988 : x
  2. Step 2: Convert to fraction form
    8,300/11,454 = 4,988/x
  3. Step 3: Cross multiply
    8,300x = 11,454 × 4,988
  4. Step 4: Simplify right side
    8,300x = 57,132,552
  5. Step 5: Solve for x
    x = 57,132,552/8,300
  6. Step 6: Final answer
    x = 6,883.44

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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.