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Finding the Fourth Proportional to 11,765.48, 16,237.86 and 6,797.48

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Solution

The fourth proportional to 11,765.48, 16,237.86 and 6,797.48 is: 9,381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.48 : 16,237.86 = 6,797.48 : x
  2. Step 2: Convert to fraction form
    11,765.48/16,237.86 = 6,797.48/x
  3. Step 3: Cross multiply
    11,765.48x = 16,237.86 × 6,797.48
  4. Step 4: Simplify right side
    11,765.48x = 110,376,528.59
  5. Step 5: Solve for x
    x = 110,376,528.59/11,765.48
  6. Step 6: Final answer
    x = 9,381.39

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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.