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Finding the Fourth Proportional to 6,617.44, 9,884.48 and 4,965.28

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Solution

The fourth proportional to 6,617.44, 9,884.48 and 4,965.28 is: 7,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.44 : 9,884.48 = 4,965.28 : x
  2. Step 2: Convert to fraction form
    6,617.44/9,884.48 = 4,965.28/x
  3. Step 3: Cross multiply
    6,617.44x = 9,884.48 × 4,965.28
  4. Step 4: Simplify right side
    6,617.44x = 49,079,210.85
  5. Step 5: Solve for x
    x = 49,079,210.85/6,617.44
  6. Step 6: Final answer
    x = 7,416.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.