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Finding the Fourth Proportional to 7,882.83, 10,882.77 and 5,201.82

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Solution

The fourth proportional to 7,882.83, 10,882.77 and 5,201.82 is: 7,181.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.83 : 10,882.77 = 5,201.82 : x
  2. Step 2: Convert to fraction form
    7,882.83/10,882.77 = 5,201.82/x
  3. Step 3: Cross multiply
    7,882.83x = 10,882.77 × 5,201.82
  4. Step 4: Simplify right side
    7,882.83x = 56,610,210.64
  5. Step 5: Solve for x
    x = 56,610,210.64/7,882.83
  6. Step 6: Final answer
    x = 7,181.46

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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.