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Finding the Fourth Proportional to 7,101.87, 9,791.47 and 5,821.04

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Solution

The fourth proportional to 7,101.87, 9,791.47 and 5,821.04 is: 8,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.87 : 9,791.47 = 5,821.04 : x
  2. Step 2: Convert to fraction form
    7,101.87/9,791.47 = 5,821.04/x
  3. Step 3: Cross multiply
    7,101.87x = 9,791.47 × 5,821.04
  4. Step 4: Simplify right side
    7,101.87x = 56,996,460.47
  5. Step 5: Solve for x
    x = 56,996,460.47/7,101.87
  6. Step 6: Final answer
    x = 8,025.56

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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.