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Finding the Fourth Proportional to 7,151.94, 9,860.55 and 4,629.60

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Solution

The fourth proportional to 7,151.94, 9,860.55 and 4,629.60 is: 6,382.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.94 : 9,860.55 = 4,629.60 : x
  2. Step 2: Convert to fraction form
    7,151.94/9,860.55 = 4,629.60/x
  3. Step 3: Cross multiply
    7,151.94x = 9,860.55 × 4,629.60
  4. Step 4: Simplify right side
    7,151.94x = 45,650,402.28
  5. Step 5: Solve for x
    x = 45,650,402.28/7,151.94
  6. Step 6: Final answer
    x = 6,382.94

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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.