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Finding the Fourth Proportional to 6,487.50, 8,952.75 and 3,693

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Solution

The fourth proportional to 6,487.50, 8,952.75 and 3,693 is: 5,096.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.50 : 8,952.75 = 3,693 : x
  2. Step 2: Convert to fraction form
    6,487.50/8,952.75 = 3,693/x
  3. Step 3: Cross multiply
    6,487.50x = 8,952.75 × 3,693
  4. Step 4: Simplify right side
    6,487.50x = 33,062,505.75
  5. Step 5: Solve for x
    x = 33,062,505.75/6,487.50
  6. Step 6: Final answer
    x = 5,096.34

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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.