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Finding the Fourth Proportional to 7,100.53, 9,797.16 and 4,741

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Solution

The fourth proportional to 7,100.53, 9,797.16 and 4,741 is: 6,541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.53 : 9,797.16 = 4,741 : x
  2. Step 2: Convert to fraction form
    7,100.53/9,797.16 = 4,741/x
  3. Step 3: Cross multiply
    7,100.53x = 9,797.16 × 4,741
  4. Step 4: Simplify right side
    7,100.53x = 46,448,335.56
  5. Step 5: Solve for x
    x = 46,448,335.56/7,100.53
  6. Step 6: Final answer
    x = 6,541.53

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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.