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Finding the Fourth Proportional to 6,917.76, 9,546.48 and 3,774.24

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Solution

The fourth proportional to 6,917.76, 9,546.48 and 3,774.24 is: 5,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.76 : 9,546.48 = 3,774.24 : x
  2. Step 2: Convert to fraction form
    6,917.76/9,546.48 = 3,774.24/x
  3. Step 3: Cross multiply
    6,917.76x = 9,546.48 × 3,774.24
  4. Step 4: Simplify right side
    6,917.76x = 36,030,706.68
  5. Step 5: Solve for x
    x = 36,030,706.68/6,917.76
  6. Step 6: Final answer
    x = 5,208.44

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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.