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Finding the Fourth Proportional to 9,679.75, 13,356.00 and 5,699.41

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Solution

The fourth proportional to 9,679.75, 13,356.00 and 5,699.41 is: 7,863.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.75 : 13,356.00 = 5,699.41 : x
  2. Step 2: Convert to fraction form
    9,679.75/13,356.00 = 5,699.41/x
  3. Step 3: Cross multiply
    9,679.75x = 13,356.00 × 5,699.41
  4. Step 4: Simplify right side
    9,679.75x = 76,121,291.46
  5. Step 5: Solve for x
    x = 76,121,291.46/9,679.75
  6. Step 6: Final answer
    x = 7,863.97

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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.