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Finding the Fourth Proportional to 7,151.44, 9,859.86 and 4,629.10

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Solution

The fourth proportional to 7,151.44, 9,859.86 and 4,629.10 is: 6,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.44 : 9,859.86 = 4,629.10 : x
  2. Step 2: Convert to fraction form
    7,151.44/9,859.86 = 4,629.10/x
  3. Step 3: Cross multiply
    7,151.44x = 9,859.86 × 4,629.10
  4. Step 4: Simplify right side
    7,151.44x = 45,642,277.93
  5. Step 5: Solve for x
    x = 45,642,277.93/7,151.44
  6. Step 6: Final answer
    x = 6,382.25

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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.