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Finding the Fourth Proportional to 6,441.24, 9,663.48 and 1,824.24

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Solution

The fourth proportional to 6,441.24, 9,663.48 and 1,824.24 is: 2,736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.24 : 9,663.48 = 1,824.24 : x
  2. Step 2: Convert to fraction form
    6,441.24/9,663.48 = 1,824.24/x
  3. Step 3: Cross multiply
    6,441.24x = 9,663.48 × 1,824.24
  4. Step 4: Simplify right side
    6,441.24x = 17,628,506.76
  5. Step 5: Solve for x
    x = 17,628,506.76/6,441.24
  6. Step 6: Final answer
    x = 2,736.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.