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Finding the Fourth Proportional to 8,283.52, 11,431.25 and 4,748.78

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Solution

The fourth proportional to 8,283.52, 11,431.25 and 4,748.78 is: 6,553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.52 : 11,431.25 = 4,748.78 : x
  2. Step 2: Convert to fraction form
    8,283.52/11,431.25 = 4,748.78/x
  3. Step 3: Cross multiply
    8,283.52x = 11,431.25 × 4,748.78
  4. Step 4: Simplify right side
    8,283.52x = 54,284,463.07
  5. Step 5: Solve for x
    x = 54,284,463.07/8,283.52
  6. Step 6: Final answer
    x = 6,553.31

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1.5x scale

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.