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Finding the Fourth Proportional to 9,791.07, 13,510.62 and 5,542.62

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Solution

The fourth proportional to 9,791.07, 13,510.62 and 5,542.62 is: 7,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.07 : 13,510.62 = 5,542.62 : x
  2. Step 2: Convert to fraction form
    9,791.07/13,510.62 = 5,542.62/x
  3. Step 3: Cross multiply
    9,791.07x = 13,510.62 × 5,542.62
  4. Step 4: Simplify right side
    9,791.07x = 74,884,232.62
  5. Step 5: Solve for x
    x = 74,884,232.62/9,791.07
  6. Step 6: Final answer
    x = 7,648.22

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1.5x scale

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.