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Finding the Fourth Proportional to 9,672.78, 13,350.24 and 5,693.70

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Solution

The fourth proportional to 9,672.78, 13,350.24 and 5,693.70 is: 7,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.78 : 13,350.24 = 5,693.70 : x
  2. Step 2: Convert to fraction form
    9,672.78/13,350.24 = 5,693.70/x
  3. Step 3: Cross multiply
    9,672.78x = 13,350.24 × 5,693.70
  4. Step 4: Simplify right side
    9,672.78x = 76,012,261.49
  5. Step 5: Solve for x
    x = 76,012,261.49/9,672.78
  6. Step 6: Final answer
    x = 7,858.37

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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.